257529089 has 2 divisors, whose sum is σ = 257529090. Its totient is φ = 257529088.

The previous prime is 257529071. The next prime is 257529113. The reversal of 257529089 is 980925752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213744400 + 43784689 = 14620^2 + 6617^2 .

It is a cyclic number.

It is not a de Polignac number, because 257529089 - 2²⁴ = 240751873 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (257519089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128764544 + 128764545.

It is an arithmetic number, because the mean of its divisors is an integer number (128764545).

Almost surely, 2^257529089 is an apocalyptic number.

It is an amenable number.

257529089 is a deficient number, since it is larger than the sum of its proper divisors (1).

257529089 is an equidigital number, since it uses as much as digits as its factorization.

257529089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 47.

The square root of 257529089 is about 16047.7128900040. The cubic root of 257529089 is about 636.2221190933. Note that the first 3 decimals are identical.

The spelling of 257529089 in words is "two hundred fifty-seven million, five hundred twenty-nine thousand, eighty-nine".