3131256961 has 32 divisors (see below), whose sum is σ = 3836786688. Its totient is φ = 2497080960.

The previous prime is 3131256937. The next prime is 3131257037. The reversal of 3131256961 is 1696521313.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3131256961 - 2⁵ = 3131256929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3131256961.

It is not an unprimeable number, because it can be changed into a prime (3131256901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3451870 + ... + 3452776.

It is an arithmetic number, because the mean of its divisors is an integer number (119899584).

Almost surely, 2^3131256961 is an apocalyptic number.

It is an amenable number.

3131256961 is a deficient number, since it is larger than the sum of its proper divisors (705529727).

3131256961 is a wasteful number, since it uses less digits than its factorization.

3131256961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501.

The product of its digits is 29160, while the sum is 37.

The square root of 3131256961 is about 55957.6354128728. The cubic root of 3131256961 is about 1462.9839767307.

The spelling of 3131256961 in words is "three billion, one hundred thirty-one million, two hundred fifty-six thousand, nine hundred sixty-one".