564604425 has 288 divisors, whose sum is σ = 1403910144. Its totient is φ = 217728000.

The previous prime is 564604409. The next prime is 564604441. The reversal of 564604425 is 524406465.

564604425 is a `hidden beast` number, since 5 + 6 + 4 + 604 + 42 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (564604409) and next prime (564604441).

It is not a de Polignac number, because 564604425 - 2⁴ = 564604409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 564604425.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7952140 + ... + 7952210.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2^564604425 is an apocalyptic number.

564604425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564604425 is an abundant number, since it is smaller than the sum of its proper divisors (839305719).

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

564604425 is a wasteful number, since it uses less digits than its factorization.

564604425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 564604425 is about 23761.4062083876. The cubic root of 564604425 is about 826.5099619683.

The spelling of 564604425 in words is "five hundred sixty-four million, six hundred four thousand, four hundred twenty-five".