259157 has 2 divisors, whose sum is σ = 259158. Its totient is φ = 259156.

The previous prime is 259151. The next prime is 259159. The reversal of 259157 is 751952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152881 + 106276 = 391^2 + 326^2 .

It is a cyclic number.

It is not a de Polignac number, because 259157 - 2¹⁴ = 242773 is a prime.

Together with 259159, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (259151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129578 + 129579.

It is an arithmetic number, because the mean of its divisors is an integer number (129579).

2²⁵⁹¹⁵⁷ is an apocalyptic number.

It is an amenable number.

259157 is a deficient number, since it is larger than the sum of its proper divisors (1).

259157 is an equidigital number, since it uses as much as digits as its factorization.

259157 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 259157 is about 509.0746507144. The cubic root of 259157 is about 63.7559881598.

The spelling of 259157 in words is "two hundred fifty-nine thousand, one hundred fifty-seven".