"My name is n, I am an integer number.
If you subtract 5 from me, I will be evenly divisible by 6.

If you subtract 50 from me, I will be evenly divisible by 51.

If you subtract 55 from me, I will be evenly divisible by 56.

Actually, if you subtract m (any integer) from me, I will be evenly divisible by m+1."

Assuming all the above is true, evaluate n.