657120057 has 32 divisors (see below), whose sum is σ = 1015856640. Its totient is φ = 373413120.

The previous prime is 657120053. The next prime is 657120071. The reversal of 657120057 is 750021756.

It is not a de Polignac number, because 657120057 - 2² = 657120053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (657120053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156694 + ... + 160832.

It is an arithmetic number, because the mean of its divisors is an integer number (31745520).

Almost surely, 2^657120057 is an apocalyptic number.

It is an amenable number.

657120057 is a deficient number, since it is larger than the sum of its proper divisors (358736583).

657120057 is a wasteful number, since it uses less digits than its factorization.

657120057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453.

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 657120057 is about 25634.3530638087. The cubic root of 657120057 is about 869.3905349663.

The spelling of 657120057 in words is "six hundred fifty-seven million, one hundred twenty thousand, fifty-seven".