257706689 has 16 divisors (see below), whose sum is σ = 288562176. Its totient is φ = 228979200.

The previous prime is 257706679. The next prime is 257706707. The reversal of 257706689 is 986607752.

257706689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 257706689 - 2⁸ = 257706433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257706619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15644 + ... + 27570.

It is an arithmetic number, because the mean of its divisors is an integer number (18035136).

Almost surely, 2^257706689 is an apocalyptic number.

It is an amenable number.

257706689 is a deficient number, since it is larger than the sum of its proper divisors (30855487).

257706689 is a wasteful number, since it uses less digits than its factorization.

257706689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016.

The product of its (nonzero) digits is 1270080, while the sum is 50.

The square root of 257706689 is about 16053.2454351137. The cubic root of 257706689 is about 636.3683382825.

The spelling of 257706689 in words is "two hundred fifty-seven million, seven hundred six thousand, six hundred eighty-nine".