657040257 has 24 divisors (see below), whose sum is σ = 994323200. Its totient is φ = 417558240.

The previous prime is 657040247. The next prime is 657040271. The reversal of 657040257 is 752040756.

It is not a de Polignac number, because 657040257 - 2⁸ = 657040001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (657040247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119 + ... + 36267.

Almost surely, 2^657040257 is an apocalyptic number.

657040257 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

657040257 is a deficient number, since it is larger than the sum of its proper divisors (337282943).

657040257 is a wasteful number, since it uses less digits than its factorization.

657040257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35253 (or 35250 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 657040257 is about 25632.7965115007. The cubic root of 657040257 is about 869.3553409038.

The spelling of 657040257 in words is "six hundred fifty-seven million, forty thousand, two hundred fifty-seven".