2564560025 has 12 divisors (see below), whose sum is σ = 3240057132. Its totient is φ = 2012936640.

The previous prime is 2564560013. The next prime is 2564560039. The reversal of 2564560025 is 5200654652.

It can be written as a sum of positive squares in 6 ways, for example, as 8549776 + 2556010249 = 2924^2 + 50557^2 .

It is not a de Polignac number, because 2564560025 - 2²² = 2560365721 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 966434 + ... + 969083.

It is an arithmetic number, because the mean of its divisors is an integer number (270004761).

Almost surely, 2^2564560025 is an apocalyptic number.

2564560025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2564560025 is a deficient number, since it is larger than the sum of its proper divisors (675497107).

2564560025 is a wasteful number, since it uses less digits than its factorization.

2564560025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935580 (or 1935575 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 2564560025 is about 50641.4852171616. The cubic root of 2564560025 is about 1368.7925185738.

The spelling of 2564560025 in words is "two billion, five hundred sixty-four million, five hundred sixty thousand, twenty-five".