257351 has 2 divisors, whose sum is σ = 257352. Its totient is φ = 257350.

The previous prime is 257339. The next prime is 257353. The reversal of 257351 is 153752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257351 - 2⁶ = 257287 is a prime.

Together with 257353, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128675 + 128676.

It is an arithmetic number, because the mean of its divisors is an integer number (128676).

2²⁵⁷³⁵¹ is an apocalyptic number.

257351 is a deficient number, since it is larger than the sum of its proper divisors (1).

257351 is an equidigital number, since it uses as much as digits as its factorization.

257351 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1050, while the sum is 23.

The square root of 257351 is about 507.2977429479. The cubic root of 257351 is about 63.6075429789.

The spelling of 257351 in words is "two hundred fifty-seven thousand, three hundred fifty-one".