diff --git a/lang/en.json b/lang/en.json
index c62d621..7007ad5 100644
--- a/lang/en.json
+++ b/lang/en.json
@@ -168,6 +168,7 @@
   "DG.Roll.For": "For",
   "DG.Roll.Damage": "Damage",
   "DG.Roll.Roll": "Roll",
+  "DG.Roll.CannotRollStat": "A statistic of 0 cannot be rolled.",
   "DG.Physical.Wounds": "Wounds",
   "DG.Physical.FirstAidLabel": "First Aid Has Already Been Attempted: ",
   "DG.Physical.ExhaustionPenalty": "Penalty:",
diff --git a/module/roll/classes/dg-percentile-roll.js b/module/roll/classes/dg-percentile-roll.js
index 57106a6..a247b81 100644
--- a/module/roll/classes/dg-percentile-roll.js
+++ b/module/roll/classes/dg-percentile-roll.js
@@ -255,6 +255,20 @@ export class DGPercentileRoll extends DGRoll {
     return { target, localizedKey, skillPath };
   }
 
+  /**
+   * i18n key for a user-facing warning when this roll must not be made, or null if allowed.
+   * @returns {string|null}
+   */
+  get blockedRollMessage() {
+    if (this.type !== "stat") return null;
+
+    const x5 = Number(this.target);
+    if (!Number.isFinite(x5) || x5 < 1) {
+      return "DG.Roll.CannotRollStat";
+    }
+    return null;
+  }
+
   /**
    * Create label based on result of roll
    *
@@ -392,7 +406,7 @@ export class DGPercentileRoll extends DGRoll {
 
     const { rollTargetModifier } = this;
 
-    if (!this.target || Number.isNaN(this.target)) {
+    if (this.target == null || Number.isNaN(this.target)) {
       return null;
     }
 
diff --git a/module/roll/roll.js b/module/roll/roll.js
index d622b66..e1ff5c5 100644
--- a/module/roll/roll.js
+++ b/module/roll/roll.js
@@ -100,6 +100,11 @@ export async function processDGRoll(event, roll) {
   const shiftKey = event?.shiftKey ?? false;
   const which = event?.which ?? 0;
 
+  if (roll instanceof DGPercentileRoll && roll.blockedRollMessage) {
+    ui.notifications.warn(roll.blockedRollMessage, { localize: true });
+    return;
+  }
+
   if (shiftKey || which === 3) {
     if (!(roll instanceof DGSanityDamageRoll)) {
       const dialogData = await roll.showDialog();
diff --git a/module/sheets/mixins/roll-sheet-mixin.js b/module/sheets/mixins/roll-sheet-mixin.js
index 7367ac4..0f6edcb 100644
--- a/module/sheets/mixins/roll-sheet-mixin.js
+++ b/module/sheets/mixins/roll-sheet-mixin.js
@@ -36,8 +36,14 @@ export default function RollSheetMixin(Base) {
      * @private
      */
     static async _onRoll(event, target) {
-      if (target.classList.contains("not-rollable") || event.which === 2)
+      if (event.which === 2) return;
+
+      if (target.classList.contains("not-rollable")) {
+        if (target.dataset.rolltype === "stat") {
+          ui.notifications.warn("DG.Roll.CannotRollStat", { localize: true });
+        }
         return;
+      }
 
       const item = this.actor.items.get(target.dataset.iid);
       const roll = createDGRollFromDataset(target.dataset, {
diff --git a/templates/actor/partials/attributes-grid-partial.html b/templates/actor/partials/attributes-grid-partial.html
index 6d9a53c..72802f4 100644
--- a/templates/actor/partials/attributes-grid-partial.html
+++ b/templates/actor/partials/attributes-grid-partial.html
@@ -7,7 +7,7 @@
             <div class="flex-group-center flex-mid-border">
                 <div>
                     <div class="physical-stats-outer-grid-3col">
-                        <label class="rollable resource-label"
+                        <label class="{{if_gt statistic.x5 0 'rollable' 'not-rollable'}} resource-label"
                                data-action="roll"
                                data-rolltype="stat"
                                data-key="{{key}}"
@@ -20,7 +20,7 @@
                                name="system.statistics.{{key}}.value"
                                value="{{statistic.value}}"
                                data-dtype="Number" />
-                        <span class="rollable"
+                        <span class="{{if_gt statistic.x5 0 'rollable' 'not-rollable'}}"
                               data-action="roll"
                               data-rolltype="stat"
                               data-key="{{key}}"
diff --git a/templates/actor/parts/left-bar.html b/templates/actor/parts/left-bar.html
index 9b31ed4..b3d283a 100644
--- a/templates/actor/parts/left-bar.html
+++ b/templates/actor/parts/left-bar.html
@@ -25,7 +25,7 @@
             <div class="flex-group-center flex-mid-border">
                 <div>
                     <div class="physical-stats-outer-grid-3col agent-left-bar-stat-grid">
-                        <label class="rollable resource-label"
+                        <label class="{{if_gt statistic.x5 0 'rollable' 'not-rollable'}} resource-label"
                                data-action="roll"
                                data-rolltype="stat"
                                data-key="{{key}}"