257401971 has 12 divisors (see below), whose sum is σ = 374173072. Its totient is φ = 170507376.

The previous prime is 257401961. The next prime is 257401997. The reversal of 257401971 is 179104752.

It is a happy number.

257401971 is a `hidden beast` number, since 2 + 574 + 0 + 19 + 71 = 666.

It is not a de Polignac number, because 257401971 - 2⁷ = 257401843 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257401931) 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 11 ways as a sum of consecutive naturals, for example, 89671 + ... + 92496.

Almost surely, 2^257401971 is an apocalyptic number.

257401971 is a deficient number, since it is larger than the sum of its proper divisors (116771101).

257401971 is a wasteful number, since it uses less digits than its factorization.

257401971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182330 (or 182327 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 257401971 is about 16043.7517744448. The cubic root of 257401971 is about 636.1174207669.

The spelling of 257401971 in words is "two hundred fifty-seven million, four hundred one thousand, nine hundred seventy-one".