257591 has 2 divisors, whose sum is σ = 257592. Its totient is φ = 257590.

The previous prime is 257561. The next prime is 257611. The reversal of 257591 is 195752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257591 - 2¹⁰ = 256567 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128795 + 128796.

It is an arithmetic number, because the mean of its divisors is an integer number (128796).

2²⁵⁷⁵⁹¹ is an apocalyptic number.

257591 is a deficient number, since it is larger than the sum of its proper divisors (1).

257591 is an equidigital number, since it uses as much as digits as its factorization.

257591 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3150, while the sum is 29.

The square root of 257591 is about 507.5342352985. The cubic root of 257591 is about 63.6273098437.

It can be divided in two parts, 257 and 591, that added together give a palindrome (848).

The spelling of 257591 in words is "two hundred fifty-seven thousand, five hundred ninety-one".