257504417 has 2 divisors, whose sum is σ = 257504418. Its totient is φ = 257504416.

The previous prime is 257504407. The next prime is 257504437. The reversal of 257504417 is 714405752.

257504417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252301456 + 5202961 = 15884^2 + 2281^2 .

It is a cyclic number.

It is not a de Polignac number, because 257504417 - 2²⁰ = 256455841 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257504407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128752208 + 128752209.

It is an arithmetic number, because the mean of its divisors is an integer number (128752209).

Almost surely, 2^257504417 is an apocalyptic number.

It is an amenable number.

257504417 is a deficient number, since it is larger than the sum of its proper divisors (1).

257504417 is an equidigital number, since it uses as much as digits as its factorization.

257504417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39200, while the sum is 35.

The square root of 257504417 is about 16046.9441639211. The cubic root of 257504417 is about 636.2018011640.

The spelling of 257504417 in words is "two hundred fifty-seven million, five hundred four thousand, four hundred seventeen".