2564961831 has 12 divisors (see below), whose sum is σ = 3707809560. Its totient is φ = 1708652400.

The previous prime is 2564961821. The next prime is 2564961907. The reversal of 2564961831 is 1381694652.

2564961831 is a `hidden beast` number, since 2 + 564 + 9 + 6 + 1 + 83 + 1 = 666.

It is not a de Polignac number, because 2564961831 - 2⁷ = 2564961703 is a prime.

It is a super-2 number, since 2×2564961831² = 13158058388973745122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564961821) 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, 97821 + ... + 121238.

It is an arithmetic number, because the mean of its divisors is an integer number (308984130).

Almost surely, 2^2564961831 is an apocalyptic number.

2564961831 is a deficient number, since it is larger than the sum of its proper divisors (1142847729).

2564961831 is a wasteful number, since it uses less digits than its factorization.

2564961831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220366 (or 220363 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2564961831 is about 50645.4522242620. The cubic root of 2564961831 is about 1368.8640006631.

The spelling of 2564961831 in words is "two billion, five hundred sixty-four million, nine hundred sixty-one thousand, eight hundred thirty-one".