Not familiar with that router, but most I've dealt with have a master power switch and then a trigger operated switch for on/off without loosening your grip. Most of these triggers have a side botton to lock them on as well. Squeeze the trigger to release this button.
I'd suspect this button or whatever trigger lock it has disabled from vibrations or other happenings.
I doubt it's a main power switch since it appears you leave the router's power switch on all the time and use the paddle switch for on/off.
Sawdust can get packed in the router and interfere with its switch, but since you leave it alone, that is down on the list.