56503667025 has 243 divisors, whose sum is σ = 116762293011. Its totient is φ = 26105713920.

The previous prime is 56503666997. The next prime is 56503667041. The reversal of 56503667025 is 52076630565.

56503667025 = 1³ + 2³ + ... + 689³.

The square root of 56503667025 is 237705.

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

56503667025 is a `hidden beast` number, since 56 + 503 + 6 + 6 + 70 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 44376371649 + 12127295376 = 210657^2 + 110124^2 .

It is not a de Polignac number, because 56503667025 - 2⁵ = 56503666993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 242 ways as a sum of consecutive naturals, for example, 1066106899 + ... + 1066106951.

Almost surely, 2^56503667025 is an apocalyptic number.

56503667025 is the 237705-th square number.

56503667025 is the 118853-rd centered octagonal number.

It is an amenable number.

56503667025 is an abundant number, since it is smaller than the sum of its proper divisors (60258625986).

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

56503667025 is a wasteful number, since it uses less digits than its factorization.

56503667025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 56503667025 in words is "fifty-six billion, five hundred three million, six hundred sixty-seven thousand, twenty-five".