257345089 has 2 divisors, whose sum is σ = 257345090. Its totient is φ = 257345088.

The previous prime is 257345059. The next prime is 257345111. The reversal of 257345089 is 980543752.

257345089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213890625 + 43454464 = 14625^2 + 6592^2 .

It is a cyclic number.

It is not a de Polignac number, because 257345089 - 2¹¹ = 257343041 is a prime.

It is not a weakly prime, because it can be changed into another prime (257345059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128672544 + 128672545.

It is an arithmetic number, because the mean of its divisors is an integer number (128672545).

Almost surely, 2^257345089 is an apocalyptic number.

It is an amenable number.

257345089 is a deficient number, since it is larger than the sum of its proper divisors (1).

257345089 is an equidigital number, since it uses as much as digits as its factorization.

257345089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 302400, while the sum is 43.

The square root of 257345089 is about 16041.9789614623. The cubic root of 257345089 is about 636.0705598245.

The spelling of 257345089 in words is "two hundred fifty-seven million, three hundred forty-five thousand, eighty-nine".