2564012825 has 12 divisors (see below), whose sum is σ = 3468410448. Its totient is φ = 1864736400.

The previous prime is 2564012819. The next prime is 2564012863. The reversal of 2564012825 is 5282104652.

It is not a de Polignac number, because 2564012825 - 2¹⁸ = 2563750681 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4661567 + ... + 4662116.

It is an arithmetic number, because the mean of its divisors is an integer number (289034204).

Almost surely, 2^2564012825 is an apocalyptic number.

2564012825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2564012825 is a deficient number, since it is larger than the sum of its proper divisors (904397623).

2564012825 is a wasteful number, since it uses less digits than its factorization.

2564012825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323704 (or 9323699 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 2564012825 is about 50636.0822437913. The cubic root of 2564012825 is about 1368.6951585931.

The spelling of 2564012825 in words is "two billion, five hundred sixty-four million, twelve thousand, eight hundred twenty-five".