561566545665165 has 96 divisors (see below), whose sum is σ = 990024696460800. Its totient is φ = 294407236569600.

The previous prime is 561566545665157. The next prime is 561566545665193.

561566545665165 is a `hidden beast` number, since 5 + 6 + 1 + 5 + 6 + 6 + 5 + 4 + 566 + 51 + 6 + 5 = 666.

561566545665165 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 561566545665165 - 2³ = 561566545665157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 561566545665093 and 561566545665102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2277122536 + ... + 2277369134.

It is an arithmetic number, because the mean of its divisors is an integer number (10312757254800).

Almost surely, 2^{561566545665165} is an apocalyptic number.

It is an amenable number.

561566545665165 is a deficient number, since it is larger than the sum of its proper divisors (428458150795635).

561566545665165 is a wasteful number, since it uses less digits than its factorization.

561566545665165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248795 (or 248792 counting only the distinct ones).

The product of its digits is 2916000000, while the sum is 72.

The spelling of 561566545665165 in words is "five hundred sixty-one trillion, five hundred sixty-six billion, five hundred forty-five million, six hundred sixty-five thousand, one hundred sixty-five".