57909740924025 has 81 divisors (see below), whose sum is σ = 104780766731277. Its totient is φ = 30573313272000.

The previous prime is 57909740924003. The next prime is 57909740924027. The reversal of 57909740924025 is 52042904790975.

The square root of 57909740924025 is 7609845.

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

57909740924025 is a `hidden beast` number, since 5 + 79 + 0 + 9 + 74 + 0 + 92 + 402 + 5 = 666.

57909740924025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10692723420729 + 47217017503296 = 3269973^2 + 6871464^2 .

It is not a de Polignac number, because 57909740924025 - 2⁴³ = 49113647901817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57909740924027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11528912664 + ... + 11528917686.

Almost surely, 2^{57909740924025} is an apocalyptic number.

57909740924025 is the 7609845-th square number.

57909740924025 is the 3804923-rd centered octagonal number.

It is an amenable number.

57909740924025 is a deficient number, since it is larger than the sum of its proper divisors (46871025807252).

57909740924025 is an frugal number, since it uses more digits than its factorization.

57909740924025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 57909740924025 in words is "fifty-seven trillion, nine hundred nine billion, seven hundred forty million, nine hundred twenty-four thousand, twenty-five".