257000008 has 8 divisors (see below), whose sum is σ = 481875030. Its totient is φ = 128500000.

The previous prime is 256999993. The next prime is 257000011. The reversal of 257000008 is 800000752.

It can be written as a sum of positive squares in only one way, i.e., 142038724 + 114961284 = 11918^2 + 10722^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×257000008² = 132098008224000128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16062493 + ... + 16062508.

Almost surely, 2^257000008 is an apocalyptic number.

It is an amenable number.

257000008 is a deficient number, since it is larger than the sum of its proper divisors (224875022).

257000008 is a wasteful number, since it uses less digits than its factorization.

257000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32125007 (or 32125003 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 257000008 is about 16031.2197913945. The cubic root of 257000008 is about 635.7861245704.

The spelling of 257000008 in words is "two hundred fifty-seven million, eight", and thus it is an aban number.