257603417 has 2 divisors, whose sum is σ = 257603418. Its totient is φ = 257603416.

The previous prime is 257603389. The next prime is 257603443. The reversal of 257603417 is 714306752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229098496 + 28504921 = 15136^2 + 5339^2 .

It is a cyclic number.

It is not a de Polignac number, because 257603417 - 2²⁰ = 256554841 is a prime.

It is not a weakly prime, because it can be changed into another prime (257603447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128801708 + 128801709.

It is an arithmetic number, because the mean of its divisors is an integer number (128801709).

Almost surely, 2^257603417 is an apocalyptic number.

It is an amenable number.

257603417 is a deficient number, since it is larger than the sum of its proper divisors (1).

257603417 is an equidigital number, since it uses as much as digits as its factorization.

257603417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 257603417 is about 16050.0285669528. The cubic root of 257603417 is about 636.2833219773.

The spelling of 257603417 in words is "two hundred fifty-seven million, six hundred three thousand, four hundred seventeen".