32564007025 has 81 divisors (see below), whose sum is σ = 47393889123. Its totient is φ = 22174310400.

The previous prime is 32564007019. The next prime is 32564007029. The reversal of 32564007025 is 52070046523.

The square root of 32564007025 is 180455.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 20063872609 + 12500134416 = 141647^2 + 111804^2 .

It is not a de Polignac number, because 32564007025 - 2³ = 32564007017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32564007029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 168725329 + ... + 168725521.

Almost surely, 2^32564007025 is an apocalyptic number.

32564007025 is the 180455-th square number.

32564007025 is the 90228-th centered octagonal number.

It is an amenable number.

32564007025 is a deficient number, since it is larger than the sum of its proper divisors (14829882098).

32564007025 is a wasteful number, since it uses less digits than its factorization.

32564007025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The spelling of 32564007025 in words is "thirty-two billion, five hundred sixty-four million, seven thousand, twenty-five".