257157876289 has 16 divisors (see below), whose sum is σ = 261604062720. Its totient is φ = 252744148800.

The previous prime is 257157876277. The next prime is 257157876299. The reversal of 257157876289 is 982678751752.

It is a cyclic number.

It is not a de Polignac number, because 257157876289 - 2⁵ = 257157876257 is a prime.

It is a super-2 number, since 2×257157876289² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (118540800) is a multiple of the sum of its prime divisors (17280).

It is not an unprimeable number, because it can be changed into a prime (257157876299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15767439 + ... + 15783739.

It is an arithmetic number, because the mean of its divisors is an integer number (16350253920).

Almost surely, 2^257157876289 is an apocalyptic number.

It is an amenable number.

257157876289 is a deficient number, since it is larger than the sum of its proper divisors (4446186431).

257157876289 is a wasteful number, since it uses less digits than its factorization.

257157876289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17280.

The product of its digits is 118540800, while the sum is 67.

The spelling of 257157876289 in words is "two hundred fifty-seven billion, one hundred fifty-seven million, eight hundred seventy-six thousand, two hundred eighty-nine".