13008209 has 2 divisors, whose sum is σ = 13008210. Its totient is φ = 13008208.

The previous prime is 13008181. The next prime is 13008223. The reversal of 13008209 is 90280031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12623809 + 384400 = 3553^2 + 620^2 .

It is a cyclic number.

It is not a de Polignac number, because 13008209 - 2¹⁶ = 12942673 is a prime.

It is not a weakly prime, because it can be changed into another prime (13008239) 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, 6504104 + 6504105.

It is an arithmetic number, because the mean of its divisors is an integer number (6504105).

Almost surely, 2^13008209 is an apocalyptic number.

It is an amenable number.

13008209 is a deficient number, since it is larger than the sum of its proper divisors (1).

13008209 is an equidigital number, since it uses as much as digits as its factorization.

13008209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 13008209 is about 3606.6894792871. The cubic root of 13008209 is about 235.1829509388.

The spelling of 13008209 in words is "thirteen million, eight thousand, two hundred nine".