2564525601 has 12 divisors (see below), whose sum is σ = 4041070800. Its totient is φ = 1554257880.

The previous prime is 2564525597. The next prime is 2564525629. The reversal of 2564525601 is 1065254652.

2564525601 is a `hidden beast` number, since 2 + 5 + 6 + 45 + 2 + 5 + 601 = 666.

It is not a de Polignac number, because 2564525601 - 2² = 2564525597 is a prime.

It is a super-2 number, since 2×2564525601² = 13153583116368822402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2564525501) 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, 12952051 + ... + 12952248.

It is an arithmetic number, because the mean of its divisors is an integer number (336755900).

Almost surely, 2^2564525601 is an apocalyptic number.

It is an amenable number.

2564525601 is a deficient number, since it is larger than the sum of its proper divisors (1476545199).

2564525601 is a wasteful number, since it uses less digits than its factorization.

2564525601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25904316 (or 25904313 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2564525601 is about 50641.1453365739. The cubic root of 2564525601 is about 1368.7863941283.

The spelling of 2564525601 in words is "two billion, five hundred sixty-four million, five hundred twenty-five thousand, six hundred one".