257871705 has 128 divisors (see below), whose sum is σ = 546631680. Its totient is φ = 100776960.

The previous prime is 257871703. The next prime is 257871707. The reversal of 257871705 is 507178752.

It is an interprime number because it is at equal distance from previous prime (257871703) and next prime (257871707).

It is not a de Polignac number, because 257871705 - 2¹ = 257871703 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257871701) 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 127 ways as a sum of consecutive naturals, for example, 1581954 + ... + 1582116.

It is an arithmetic number, because the mean of its divisors is an integer number (4270560).

Almost surely, 2^257871705 is an apocalyptic number.

It is an amenable number.

257871705 is an abundant number, since it is smaller than the sum of its proper divisors (288759975).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257871705 is a wasteful number, since it uses less digits than its factorization.

257871705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 137200, while the sum is 42.

The square root of 257871705 is about 16058.3842586980. The cubic root of 257871705 is about 636.5041367910.

The spelling of 257871705 in words is "two hundred fifty-seven million, eight hundred seventy-one thousand, seven hundred five".