259517 has 2 divisors, whose sum is σ = 259518. Its totient is φ = 259516.

The previous prime is 259507. The next prime is 259531. The reversal of 259517 is 715952.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256036 + 3481 = 506^2 + 59^2 .

It is a cyclic number.

It is not a de Polignac number, because 259517 - 2⁶ = 259453 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 259517.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259517.

It is not a weakly prime, because it can be changed into another prime (259507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129758 + 129759.

It is an arithmetic number, because the mean of its divisors is an integer number (129759).

2²⁵⁹⁵¹⁷ is an apocalyptic number.

It is an amenable number.

259517 is a deficient number, since it is larger than the sum of its proper divisors (1).

259517 is an equidigital number, since it uses as much as digits as its factorization.

259517 is an evil number, because the sum of its binary digits is even.

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

The square root of 259517 is about 509.4281107281. The cubic root of 259517 is about 63.7854960593.

It can be divided in two parts, 259 and 517, that multiplied together give a triangular number (133903 = T₅₁₇).

The spelling of 259517 in words is "two hundred fifty-nine thousand, five hundred seventeen".