2564564625 has 64 divisors (see below), whose sum is σ = 5419015680. Its totient is φ = 1172361600.

The previous prime is 2564564617. The next prime is 2564564647. The reversal of 2564564625 is 5264654652.

2564564625 is a `hidden beast` number, since 2 + 5 + 64 + 564 + 6 + 25 = 666.

It is not a de Polignac number, because 2564564625 - 2³ = 2564564617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30652 + ... + 77901.

It is an arithmetic number, because the mean of its divisors is an integer number (84672120).

Almost surely, 2^2564564625 is an apocalyptic number.

2564564625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2564564625 is an abundant number, since it is smaller than the sum of its proper divisors (2854451055).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2564564625 is a wasteful number, since it uses less digits than its factorization.

2564564625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108584 (or 108568 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 2564564625 is about 50641.5306344506. The cubic root of 2564564625 is about 1368.7933369653.

The spelling of 2564564625 in words is "two billion, five hundred sixty-four million, five hundred sixty-four thousand, six hundred twenty-five".