564130125 has 96 divisors (see below), whose sum is σ = 1160097120. Its totient is φ = 261273600.

The previous prime is 564130079. The next prime is 564130141. The reversal of 564130125 is 521031465.

564130125 is a `hidden beast` number, since 5 + 641 + 3 + 0 + 12 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 533194281 + 30935844 = 23091^2 + 5562^2 .

It is not a de Polignac number, because 564130125 - 2⁸ = 564129869 is a prime.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 247491 + ... + 249759.

It is an arithmetic number, because the mean of its divisors is an integer number (12084345).

Almost surely, 2^564130125 is an apocalyptic number.

It is an amenable number.

564130125 is an abundant number, since it is smaller than the sum of its proper divisors (595966995).

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

564130125 is a wasteful number, since it uses less digits than its factorization.

564130125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 564130125 is about 23751.4236415420. The cubic root of 564130125 is about 826.2784585888.

The spelling of 564130125 in words is "five hundred sixty-four million, one hundred thirty thousand, one hundred twenty-five".