13328009809 has 9 divisors (see below), whose sum is σ = 14160213211. Its totient is φ = 12542162080.

The previous prime is 13328009777. The next prime is 13328009833. The reversal of 13328009809 is 90890082331.

It is a happy number.

The square root of 13328009809 is 115447.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10376478225 + 2951531584 = 101865^2 + 54328^2 .

It is not a de Polignac number, because 13328009809 - 2⁵ = 13328009777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13328009839) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1959204 + ... + 1965994.

Almost surely, 2^13328009809 is an apocalyptic number.

13328009809 is the 115447-th square number.

13328009809 is the 57724-th centered octagonal number.

It is an amenable number.

13328009809 is a deficient number, since it is larger than the sum of its proper divisors (832203402).

13328009809 is an frugal number, since it uses more digits than its factorization.

13328009809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13616 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 13328009809 in words is "thirteen billion, three hundred twenty-eight million, nine thousand, eight hundred nine".