13085209 has 2 divisors, whose sum is σ = 13085210. Its totient is φ = 13085208.

The previous prime is 13085179. The next prime is 13085227. The reversal of 13085209 is 90258031.

13085209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11751184 + 1334025 = 3428^2 + 1155^2 .

It is a cyclic number.

It is not a de Polignac number, because 13085209 - 2¹⁵ = 13052441 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13085239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6542604 + 6542605.

It is an arithmetic number, because the mean of its divisors is an integer number (6542605).

Almost surely, 2^13085209 is an apocalyptic number.

It is an amenable number.

13085209 is a deficient number, since it is larger than the sum of its proper divisors (1).

13085209 is an equidigital number, since it uses as much as digits as its factorization.

13085209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 13085209 is about 3617.3483382168. The cubic root of 13085209 is about 235.6460808744.

The spelling of 13085209 in words is "thirteen million, eighty-five thousand, two hundred nine".