257671287 has 40 divisors (see below), whose sum is σ = 402145920. Its totient is φ = 164229120.

The previous prime is 257671279. The next prime is 257671339. The reversal of 257671287 is 782176752.

257671287 is a `hidden beast` number, since 2 + 576 + 71 + 2 + 8 + 7 = 666.

It is not a de Polignac number, because 257671287 - 2³ = 257671279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257671387) 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 39 ways as a sum of consecutive naturals, for example, 222903 + ... + 224055.

It is an arithmetic number, because the mean of its divisors is an integer number (10053648).

Almost surely, 2^257671287 is an apocalyptic number.

257671287 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

257671287 is a deficient number, since it is larger than the sum of its proper divisors (144474633).

257671287 is a wasteful number, since it uses less digits than its factorization.

257671287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1276 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 257671287 is about 16052.1427541621. The cubic root of 257671287 is about 636.3391969569.

The spelling of 257671287 in words is "two hundred fifty-seven million, six hundred seventy-one thousand, two hundred eighty-seven".