257136889 has 2 divisors, whose sum is σ = 257136890. Its totient is φ = 257136888.

The previous prime is 257136877. The next prime is 257136959. The reversal of 257136889 is 988631752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133749225 + 123387664 = 11565^2 + 11108^2 .

It is a cyclic number.

It is not a de Polignac number, because 257136889 - 2²³ = 248748281 is a prime.

It is a super-2 number, since 2×257136889² = 132238759369196642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257136829) 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 as a sum of consecutive naturals, namely, 128568444 + 128568445.

It is an arithmetic number, because the mean of its divisors is an integer number (128568445).

Almost surely, 2^257136889 is an apocalyptic number.

It is an amenable number.

257136889 is a deficient number, since it is larger than the sum of its proper divisors (1).

257136889 is an equidigital number, since it uses as much as digits as its factorization.

257136889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725760, while the sum is 49.

The square root of 257136889 is about 16035.4884241173. The cubic root of 257136889 is about 635.8989800722.

The spelling of 257136889 in words is "two hundred fifty-seven million, one hundred thirty-six thousand, eight hundred eighty-nine".