13205089 has 2 divisors, whose sum is σ = 13205090. Its totient is φ = 13205088.

The previous prime is 13205083. The next prime is 13205099. The reversal of 13205089 is 98050231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13198689 + 6400 = 3633^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 13205089 - 2³ = 13205081 is a prime.

It is a Chen prime.

It is equal to p₈₆₁₇₁₅ and since 13205089 and 861715 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13205081) 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, 6602544 + 6602545.

It is an arithmetic number, because the mean of its divisors is an integer number (6602545).

Almost surely, 2^13205089 is an apocalyptic number.

It is an amenable number.

13205089 is a deficient number, since it is larger than the sum of its proper divisors (1).

13205089 is an equidigital number, since it uses as much as digits as its factorization.

13205089 is an odious number, because the sum of its binary digits is odd.

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

The square root of 13205089 is about 3633.8807080035. The cubic root of 13205089 is about 236.3635173883.

The spelling of 13205089 in words is "thirteen million, two hundred five thousand, eighty-nine".