13005259 has 2 divisors, whose sum is σ = 13005260. Its totient is φ = 13005258.

The previous prime is 13005233. The next prime is 13005263. The reversal of 13005259 is 95250031.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13005259 - 2⁵ = 13005227 is a prime.

It is not a weakly prime, because it can be changed into another prime (13005269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502629 + 6502630.

It is an arithmetic number, because the mean of its divisors is an integer number (6502630).

Almost surely, 2^13005259 is an apocalyptic number.

13005259 is a deficient number, since it is larger than the sum of its proper divisors (1).

13005259 is an equidigital number, since it uses as much as digits as its factorization.

13005259 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 13005259 is about 3606.2804938052. The cubic root of 13005259 is about 235.1651713414.

The spelling of 13005259 in words is "thirteen million, five thousand, two hundred fifty-nine".