312175724961 has 16 divisors (see below), whose sum is σ = 434347361280. Its totient is φ = 199061282640.

The previous prime is 312175724951. The next prime is 312175724977. The reversal of 312175724961 is 169427571213.

It is not a de Polignac number, because 312175724961 - 2³³ = 303585790369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312175724961.

It is not an unprimeable number, because it can be changed into a prime (312175724941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2310606 + ... + 2441976.

It is an arithmetic number, because the mean of its divisors is an integer number (27146710080).

Almost surely, 2^312175724961 is an apocalyptic number.

It is an amenable number.

312175724961 is a deficient number, since it is larger than the sum of its proper divisors (122171636319).

312175724961 is a wasteful number, since it uses less digits than its factorization.

312175724961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165836.

The product of its digits is 635040, while the sum is 48.

The spelling of 312175724961 in words is "three hundred twelve billion, one hundred seventy-five million, seven hundred twenty-four thousand, nine hundred sixty-one".