2564641331 has 12 divisors (see below), whose sum is σ = 2988746208. Its totient is φ = 2194294032.

The previous prime is 2564641279. The next prime is 2564641351. The reversal of 2564641331 is 1331464652.

2564641331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2564641331 - 2¹⁸ = 2564379187 is a prime.

It is a super-2 number, since 2×2564641331² = 13154770313346903122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2564641291 and 2564641300.

It is not an unprimeable number, because it can be changed into a prime (2564641351) 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, 19691 + ... + 74276.

It is an arithmetic number, because the mean of its divisors is an integer number (249062184).

Almost surely, 2^2564641331 is an apocalyptic number.

2564641331 is a deficient number, since it is larger than the sum of its proper divisors (424104877).

2564641331 is an equidigital number, since it uses as much as digits as its factorization.

2564641331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94538 (or 94531 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 2564641331 is about 50642.2879716152. The cubic root of 2564641331 is about 1368.8069836760.

The spelling of 2564641331 in words is "two billion, five hundred sixty-four million, six hundred forty-one thousand, three hundred thirty-one".