257605609 has 2 divisors, whose sum is σ = 257605610. Its totient is φ = 257605608.

The previous prime is 257605577. The next prime is 257605613. The reversal of 257605609 is 906506752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237776400 + 19829209 = 15420^2 + 4453^2 .

It is a cyclic number.

It is not a de Polignac number, because 257605609 - 2⁵ = 257605577 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257605619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128802804 + 128802805.

It is an arithmetic number, because the mean of its divisors is an integer number (128802805).

Almost surely, 2^257605609 is an apocalyptic number.

It is an amenable number.

257605609 is a deficient number, since it is larger than the sum of its proper divisors (1).

257605609 is an equidigital number, since it uses as much as digits as its factorization.

257605609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 257605609 is about 16050.0968532903. The cubic root of 257605609 is about 636.2851267270.

The spelling of 257605609 in words is "two hundred fifty-seven million, six hundred five thousand, six hundred nine".