257057537 has 24 divisors (see below), whose sum is σ = 298676352. Its totient is φ = 219240000.

The previous prime is 257057533. The next prime is 257057573. The reversal of 257057537 is 735750752.

It is not a de Polignac number, because 257057537 - 2² = 257057533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257057494 and 257057503.

It is not an unprimeable number, because it can be changed into a prime (257057531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341912 + ... + 342662.

It is an arithmetic number, because the mean of its divisors is an integer number (12444848).

Almost surely, 2^257057537 is an apocalyptic number.

It is an amenable number.

257057537 is a deficient number, since it is larger than the sum of its proper divisors (41618815).

257057537 is a wasteful number, since it uses less digits than its factorization.

257057537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 257250, while the sum is 41.

The square root of 257057537 is about 16033.0139711783. The cubic root of 257057537 is about 635.8335608999.

The spelling of 257057537 in words is "two hundred fifty-seven million, fifty-seven thousand, five hundred thirty-seven".