512110312961 has 16 divisors (see below), whose sum is σ = 572580531600. Its totient is φ = 454768812288.

The previous prime is 512110312949. The next prime is 512110313047. The reversal of 512110312961 is 169213011215.

It can be written as a sum of positive squares in 8 ways, for example, as 147825639361 + 364284673600 = 384481^2 + 603560^2 .

It is a cyclic number.

It is not a de Polignac number, because 512110312961 - 2²⁶ = 512043204097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (512140312961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2347526 + ... + 2556383.

It is an arithmetic number, because the mean of its divisors is an integer number (35786283225).

Almost surely, 2^512110312961 is an apocalyptic number.

It is an amenable number.

512110312961 is a deficient number, since it is larger than the sum of its proper divisors (60470218639).

512110312961 is a wasteful number, since it uses less digits than its factorization.

512110312961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904228.

The product of its (nonzero) digits is 3240, while the sum is 32.

The spelling of 512110312961 in words is "five hundred twelve billion, one hundred ten million, three hundred twelve thousand, nine hundred sixty-one".