566263775025 has 243 divisors, whose sum is σ = 1171827286851. Its totient is φ = 261221575680.

The previous prime is 566263774933. The next prime is 566263775029. The reversal of 566263775025 is 520577362665.

The square root of 566263775025 is 752505.

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

566263775025 is a `hidden beast` number, since 5 + 6 + 6 + 2 + 63 + 77 + 502 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 412399005489 + 153864769536 = 642183^2 + 392256^2 .

It is not a de Polignac number, because 566263775025 - 2⁹ = 566263774513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (566263775029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2494553962 + ... + 2494554188.

Almost surely, 2^566263775025 is an apocalyptic number.

566263775025 is the 752505-th square number.

566263775025 is the 376253-rd centered octagonal number.

It is an amenable number.

566263775025 is an abundant number, since it is smaller than the sum of its proper divisors (605563511826).

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

566263775025 is a wasteful number, since it uses less digits than its factorization.

566263775025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 566263775025 in words is "five hundred sixty-six billion, two hundred sixty-three million, seven hundred seventy-five thousand, twenty-five".