15259 has 2 divisors, whose sum is σ = 15260. Its totient is φ = 15258.

The previous prime is 15241. The next prime is 15263. The reversal of 15259 is 95251.

15259 is nontrivially palindromic in base 7.

15259 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 15259 - 2⁵ = 15227 is a prime.

It is a Chen prime.

15259 is a lucky number.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (15269) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7629 + 7630.

It is an arithmetic number, because the mean of its divisors is an integer number (7630).

2¹⁵²⁵⁹ is an apocalyptic number.

15259 is a deficient number, since it is larger than the sum of its proper divisors (1).

15259 is an equidigital number, since it uses as much as digits as its factorization.

15259 is an evil number, because the sum of its binary digits is even.

The product of its digits is 450, while the sum is 22.

The square root of 15259 is about 123.5273249123. The cubic root of 15259 is about 24.8032557294.

The spelling of 15259 in words is "fifteen thousand, two hundred fifty-nine".