257000009 has 8 divisors (see below), whose sum is σ = 293848320. Its totient is φ = 220185216.

The previous prime is 256999993. The next prime is 257000011. The reversal of 257000009 is 900000752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257000009 - 2⁴ = 256999993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257000069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11072 + ... + 25230.

It is an arithmetic number, because the mean of its divisors is an integer number (36731040).

Almost surely, 2^257000009 is an apocalyptic number.

It is an amenable number.

257000009 is a deficient number, since it is larger than the sum of its proper divisors (36848311).

257000009 is a wasteful number, since it uses less digits than its factorization.

257000009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16759.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 257000009 is about 16031.2198225837. The cubic root of 257000009 is about 635.7861253950.

The spelling of 257000009 in words is "two hundred fifty-seven million, nine", and thus it is an aban number.