657100157 has 16 divisors (see below), whose sum is σ = 771872640. Its totient is φ = 547670592.

The previous prime is 657100109. The next prime is 657100177. The reversal of 657100157 is 751001756.

It is not a de Polignac number, because 657100157 - 2¹⁶ = 657034621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657100177) 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 15 ways as a sum of consecutive naturals, for example, 64163 + ... + 73695.

It is an arithmetic number, because the mean of its divisors is an integer number (48242040).

Almost surely, 2^657100157 is an apocalyptic number.

It is an amenable number.

657100157 is a deficient number, since it is larger than the sum of its proper divisors (114772483).

657100157 is a wasteful number, since it uses less digits than its factorization.

657100157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9812.

The product of its (nonzero) digits is 7350, while the sum is 32.

The square root of 657100157 is about 25633.9649098613. The cubic root of 657100157 is about 869.3817587688.

The spelling of 657100157 in words is "six hundred fifty-seven million, one hundred thousand, one hundred fifty-seven".