57504180825 has 576 divisors, whose sum is σ = 142208040960. Its totient is φ = 22239360000.

The previous prime is 57504180803. The next prime is 57504180859. The reversal of 57504180825 is 52808140575.

57504180825 is a `hidden beast` number, since 57 + 504 + 18 + 0 + 82 + 5 = 666.

It is not a de Polignac number, because 57504180825 - 2⁷ = 57504180697 is a prime.

It is a super-3 number, since 3×57504180825³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 569348275 + ... + 569348375.

It is an arithmetic number, because the mean of its divisors is an integer number (246888960).

Almost surely, 2^57504180825 is an apocalyptic number.

It is an amenable number.

57504180825 is an abundant number, since it is smaller than the sum of its proper divisors (84703860135).

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

57504180825 is a wasteful number, since it uses less digits than its factorization.

57504180825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 57504180825 in words is "fifty-seven billion, five hundred four million, one hundred eighty thousand, eight hundred twenty-five".