13259 has 2 divisors, whose sum is σ = 13260. Its totient is φ = 13258.

The previous prime is 13249. The next prime is 13267. The reversal of 13259 is 95231.

13259 is nontrivially palindromic in base 8.

It is a strong prime.

It is an emirp because it is prime and its reverse (95231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13259 - 2⁸ = 13003 is a prime.

It is a Chen prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 13259.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13259.

It is not a weakly prime, because it can be changed into another prime (13219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6629 + 6630.

It is an arithmetic number, because the mean of its divisors is an integer number (6630).

2¹³²⁵⁹ is an apocalyptic number.

13259 is a deficient number, since it is larger than the sum of its proper divisors (1).

13259 is an equidigital number, since it uses as much as digits as its factorization.

13259 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 20.

The square root of 13259 is about 115.1477311978. The cubic root of 13259 is about 23.6684739302.

It can be divided in two parts, 132 and 59, that added together give a palindrome (191).

The spelling of 13259 in words is "thirteen thousand, two hundred fifty-nine".