57101625 has 64 divisors (see below), whose sum is σ = 120706560. Its totient is φ = 26092800.

The previous prime is 57101581. The next prime is 57101677. The reversal of 57101625 is 52610175.

It is not a de Polignac number, because 57101625 - 2¹⁰ = 57100601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22417 + ... + 24833.

It is an arithmetic number, because the mean of its divisors is an integer number (1886040).

Almost surely, 2^57101625 is an apocalyptic number.

It is an amenable number.

57101625 is an abundant number, since it is smaller than the sum of its proper divisors (63604935).

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

57101625 is a wasteful number, since it uses less digits than its factorization.

57101625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 57101625 is about 7556.5617181361. The cubic root of 57101625 is about 385.0786930838.

The spelling of 57101625 in words is "fifty-seven million, one hundred one thousand, six hundred twenty-five".