257000007 has 24 divisors (see below), whose sum is σ = 382307968. Its totient is φ = 153418320.

The previous prime is 256999993. The next prime is 257000011. The reversal of 257000007 is 700000752.

It is not a de Polignac number, because 257000007 - 2⁴ = 256999991 is a prime.

It is a super-3 number, since 3×257000007³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19038 + ... + 29604.

Almost surely, 2^257000007 is an apocalyptic number.

257000007 is a deficient number, since it is larger than the sum of its proper divisors (125307961).

257000007 is a wasteful number, since it uses less digits than its factorization.

257000007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10659 (or 10648 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 257000007 is about 16031.2197602054. The cubic root of 257000007 is about 635.7861237458.

Adding to 257000007 its reverse (700000752), we get a palindrome (957000759).

The spelling of 257000007 in words is "two hundred fifty-seven million, seven", and thus it is an aban number.