257017609 has 2 divisors, whose sum is σ = 257017610. Its totient is φ = 257017608.

The previous prime is 257017601. The next prime is 257017613. The reversal of 257017609 is 906710752.

257017609 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., 256096009 + 921600 = 16003^2 + 960^2 .

It is a cyclic number.

It is not a de Polignac number, because 257017609 - 2³ = 257017601 is a prime.

It is not a weakly prime, because it can be changed into another prime (257017601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128508804 + 128508805.

It is an arithmetic number, because the mean of its divisors is an integer number (128508805).

Almost surely, 2^257017609 is an apocalyptic number.

It is an amenable number.

257017609 is a deficient number, since it is larger than the sum of its proper divisors (1).

257017609 is an equidigital number, since it uses as much as digits as its factorization.

257017609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 257017609 is about 16031.7687420946. The cubic root of 257017609 is about 635.8006384690.

The spelling of 257017609 in words is "two hundred fifty-seven million, seventeen thousand, six hundred nine".