501105605561 has 12 divisors (see below), whose sum is σ = 554764652400. Its totient is φ = 452273193240.

The previous prime is 501105605557. The next prime is 501105605629. The reversal of 501105605561 is 165506501105.

It is not a de Polignac number, because 501105605561 - 2² = 501105605557 is a prime.

It is a super-2 number, since 2×501105605561² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (501105605501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14880191 + ... + 14913828.

It is an arithmetic number, because the mean of its divisors is an integer number (46230387700).

Almost surely, 2^501105605561 is an apocalyptic number.

It is an amenable number.

501105605561 is a deficient number, since it is larger than the sum of its proper divisors (53659046839).

501105605561 is a wasteful number, since it uses less digits than its factorization.

501105605561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29794180 (or 29794169 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 501105605561 in words is "five hundred one billion, one hundred five million, six hundred five thousand, five hundred sixty-one".