257293431 has 12 divisors (see below), whose sum is σ = 372172320. Its totient is φ = 171286080.

The previous prime is 257293417. The next prime is 257293451. The reversal of 257293431 is 134392752.

It is not a de Polignac number, because 257293431 - 2¹⁰ = 257292407 is a prime.

It is a super-2 number, since 2×257293431² = 132399819271503522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257293411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13410 + ... + 26351.

It is an arithmetic number, because the mean of its divisors is an integer number (31014360).

Almost surely, 2^257293431 is an apocalyptic number.

257293431 is a deficient number, since it is larger than the sum of its proper divisors (114878889).

257293431 is a wasteful number, since it uses less digits than its factorization.

257293431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40486 (or 40483 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 257293431 is about 16040.3687925185. The cubic root of 257293431 is about 636.0279965723.

The spelling of 257293431 in words is "two hundred fifty-seven million, two hundred ninety-three thousand, four hundred thirty-one".