257349675 has 48 divisors (see below), whose sum is σ = 474112512. Its totient is φ = 122102400.

The previous prime is 257349649. The next prime is 257349707. The reversal of 257349675 is 576943752.

It is not a de Polignac number, because 257349675 - 2⁵ = 257349643 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35457 + ... + 42093.

It is an arithmetic number, because the mean of its divisors is an integer number (9877344).

Almost surely, 2^257349675 is an apocalyptic number.

257349675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257349675 is a deficient number, since it is larger than the sum of its proper divisors (216762837).

257349675 is a wasteful number, since it uses less digits than its factorization.

257349675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708 (or 6703 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 48.

The square root of 257349675 is about 16042.1218983026. The cubic root of 257349675 is about 636.0743381522.

The spelling of 257349675 in words is "two hundred fifty-seven million, three hundred forty-nine thousand, six hundred seventy-five".