57066625 has 64 divisors (see below), whose sum is σ = 91353600. Its totient is φ = 35574000.

The previous prime is 57066619. The next prime is 57066643. The reversal of 57066625 is 52666075.

The cubic root of 57066625 is 385.

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

It is not a de Polignac number, because 57066625 - 2⁷ = 57066497 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5187870 + ... + 5187880.

It is an arithmetic number, because the mean of its divisors is an integer number (1427400).

Almost surely, 2^57066625 is an apocalyptic number.

57066625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57066625 is a deficient number, since it is larger than the sum of its proper divisors (34286975).

57066625 is an frugal number, since it uses more digits than its factorization.

57066625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 57066625 is about 7554.2454950842.

The spelling of 57066625 in words is "fifty-seven million, sixty-six thousand, six hundred twenty-five".