57525474548025 has 243 divisors, whose sum is σ = 116056418376717. Its totient is φ = 27217023926400.

The previous prime is 57525474547973. The next prime is 57525474548077. The reversal of 57525474548025 is 52084547452575.

The square root of 57525474548025 is 7584555.

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

57525474548025 is a `hidden beast` number, since 5 + 7 + 5 + 2 + 547 + 4 + 5 + 4 + 80 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (57525474547973) and next prime (57525474548077).

It can be written as a sum of positive squares in 4 ways, for example, as 1730311360569 + 55795163187456 = 1315413^2 + 7469616^2 .

It is not a de Polignac number, because 57525474548025 - 2¹³ = 57525474539833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 53812417191 + ... + 53812418259.

Almost surely, 2^{57525474548025} is an apocalyptic number.

57525474548025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57525474548025 is the 7584555-th square number.

57525474548025 is the 3792278-th centered octagonal number.

It is an amenable number.

57525474548025 is an abundant number, since it is smaller than the sum of its proper divisors (58530943828692).

57525474548025 is a wasteful number, since it uses less digits than its factorization.

57525474548025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 313600000, while the sum is 63.

The spelling of 57525474548025 in words is "fifty-seven trillion, five hundred twenty-five billion, four hundred seventy-four million, five hundred forty-eight thousand, twenty-five".