257861289 has 16 divisors (see below), whose sum is σ = 393379200. Its totient is φ = 147181440.

The previous prime is 257861281. The next prime is 257861297. The reversal of 257861289 is 982168752.

It is an interprime number because it is at equal distance from previous prime (257861281) and next prime (257861297).

It is not a de Polignac number, because 257861289 - 2³ = 257861281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257861281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13237 + ... + 26285.

It is an arithmetic number, because the mean of its divisors is an integer number (24586200).

Almost surely, 2^257861289 is an apocalyptic number.

It is an amenable number.

257861289 is a deficient number, since it is larger than the sum of its proper divisors (135517911).

257861289 is a wasteful number, since it uses less digits than its factorization.

257861289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14000.

The product of its digits is 483840, while the sum is 48.

The square root of 257861289 is about 16058.0599388594. The cubic root of 257861289 is about 636.4955667460.

The spelling of 257861289 in words is "two hundred fifty-seven million, eight hundred sixty-one thousand, two hundred eighty-nine".