257152671 has 16 divisors (see below), whose sum is σ = 381633120. Its totient is φ = 171135360.

The previous prime is 257152667. The next prime is 257152681. The reversal of 257152671 is 176251752.

It is not a de Polignac number, because 257152671 - 2² = 257152667 is a prime.

It is a super-2 number, since 2×257152671² = 132254992404868482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257152601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7981 + ... + 24041.

It is an arithmetic number, because the mean of its divisors is an integer number (23852070).

Almost surely, 2^257152671 is an apocalyptic number.

257152671 is a deficient number, since it is larger than the sum of its proper divisors (124480449).

257152671 is a wasteful number, since it uses less digits than its factorization.

257152671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16663 (or 16657 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 257152671 is about 16035.9805125848. The cubic root of 257152671 is about 635.9119894235.

The spelling of 257152671 in words is "two hundred fifty-seven million, one hundred fifty-two thousand, six hundred seventy-one".