Re: drill bits in router?
1) Router bits are made of carbide, which is great at holding a sharp edge and having lots of torsional rigidity. Holding an edge is important because if an edge on a rotary cutter becomes dull, it absorbs more of the rotating force, hence placing a greater torsional stress on the bit. That's where torsional rigidity is important - carbide router bits, even if they become dull, are much more capable of handling the torsional stress applied by a router motor.
2) Most drill bits are made of low carbon or high carbon steel. These materials lose their temper when overheated, which will cause them to lose their hardness, and become dull, quickly, once that temper is lost. Dull cutting edges invite more heat and more torsional stress, and the drill bit will "twist off." What might overheat a steel drill bit? See #3.
3) The widest range of revolutions per minute seen on most commercial routers is 10,000 to 27,500. The maximum RPM of most commercial drills is 1,500. Operating a drill bit at 10x its designed operating speed will cause it to overheat, lose temper, become dull, become hot, and fail, metallurgically, resulting in an elastic failure (twisting off).
4) As convenient as it may seem, you should not use a drill bit, even a stout forstner bit, in a router. Think of it like using bike tires on a car.