50523800625 has 165 divisors, whose sum is σ = 97329946791. Its totient is φ = 26217756000.

The previous prime is 50523800521. The next prime is 50523800627. The reversal of 50523800625 is 52600832505.

It is a happy number.

The square root of 50523800625 is 224775.

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

50523800625 is a `hidden beast` number, since 5 + 0 + 5 + 23 + 8 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 16775171361 + 33748629264 = 129519^2 + 183708^2 .

It is not a de Polignac number, because 50523800625 - 2⁹ = 50523800113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 50523800625.

It is not an unprimeable number, because it can be changed into a prime (50523800627) by changing a digit.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 1365508107 + ... + 1365508143.

Almost surely, 2^50523800625 is an apocalyptic number.

50523800625 is the 224775-th square number.

50523800625 is the 112388-th centered octagonal number.

It is an amenable number.

50523800625 is a deficient number, since it is larger than the sum of its proper divisors (46806146166).

50523800625 is an frugal number, since it uses more digits than its factorization.

50523800625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 50523800625 by its sum of digits (36), we get a square (1818856822500 = 1348650²).

The spelling of 50523800625 in words is "fifty billion, five hundred twenty-three million, eight hundred thousand, six hundred twenty-five".