257875137 has 16 divisors (see below), whose sum is σ = 411425280. Its totient is φ = 158692176.

The previous prime is 257875133. The next prime is 257875139. The reversal of 257875137 is 731578752.

257875137 is a `hidden beast` number, since 2 + 57 + 87 + 513 + 7 = 666.

It is not a de Polignac number, because 257875137 - 2² = 257875133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257875092 and 257875101.

It is not an unprimeable number, because it can be changed into a prime (257875133) 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, 366993 + ... + 367694.

It is an arithmetic number, because the mean of its divisors is an integer number (25714080).

Almost surely, 2^257875137 is an apocalyptic number.

257875137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

257875137 is a deficient number, since it is larger than the sum of its proper divisors (153550143).

257875137 is a wasteful number, since it uses less digits than its factorization.

257875137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734709 (or 734703 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The square root of 257875137 is about 16058.4911184084. The cubic root of 257875137 is about 636.5069605110.

The spelling of 257875137 in words is "two hundred fifty-seven million, eight hundred seventy-five thousand, one hundred thirty-seven".