You have got chapter and verse answers from many good people.
The main takeaway from your question may have got lost in all of the responses. All of the answers are relevant but they will not help you if you have no fingers.
That cutter may be moving past your soft flesh at anything up to 30,000 RPM. That means the same piece of cutter blade will be passing the same point in space 30,000 times in one minute which is 500 times per second. In simple language, that means in one second that blade can cut into your flesh 500 times.
Take Home Message
NEVER put any part of you, or any tool, inside any part of the working area while the router is working and moving.
NEVER rely on the software keeping you safe, it may fail permitting the router cutter to move rapidly across the work area.
NEVER work on the router or change bits with power still available to the router.
NEVER leave junk (e.g. tools, clamps and stock) inside the router working area.
NEVER lose respect for the danger that a working router presents. Stay focussed and check everything before running a job.
My interest in being so emphatic is that the machine comes without guards and interlocks and that does not change your responsibility to yourself, to work safely. However, it makes it easier for things to go wrong in that blink of an eye when something does not go according to plan. Install some form of switch outside of the machine that can cut all power to it.