564075225 has 96 divisors (see below), whose sum is σ = 1222778880. Its totient is φ = 249480000.

The previous prime is 564075179. The next prime is 564075271. The reversal of 564075225 is 522570465.

564075225 is a `hidden beast` number, since 5 + 640 + 7 + 5 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (564075179) and next prime (564075271).

It is not a de Polignac number, because 564075225 - 2⁹ = 564074713 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 564075225.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144550 + ... + 148400.

It is an arithmetic number, because the mean of its divisors is an integer number (12737280).

Almost surely, 2^564075225 is an apocalyptic number.

It is an amenable number.

564075225 is an abundant number, since it is smaller than the sum of its proper divisors (658703655).

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

564075225 is a wasteful number, since it uses less digits than its factorization.

564075225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 564075225 is about 23750.2678932260. The cubic root of 564075225 is about 826.2516538044.

The spelling of 564075225 in words is "five hundred sixty-four million, seventy-five thousand, two hundred twenty-five".