12813560809 has 27 divisors (see below), whose sum is σ = 15148171287. Its totient is φ = 10807143984.

The previous prime is 12813560783. The next prime is 12813560813. The reversal of 12813560809 is 90806531821.

The square root of 12813560809 is 113197.

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., 3755851225 + 9057709584 = 61285^2 + 95172^2 .

It is not a de Polignac number, because 12813560809 - 2¹⁹ = 12813036521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12813560819) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81614959 + ... + 81615115.

It is an arithmetic number, because the mean of its divisors is an integer number (561043381).

Almost surely, 2^12813560809 is an apocalyptic number.

12813560809 is the 113197-th square number.

12813560809 is the 56599-th centered octagonal number.

It is an amenable number.

12813560809 is a deficient number, since it is larger than the sum of its proper divisors (2334610478).

12813560809 is an frugal number, since it uses more digits than its factorization.

12813560809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 12813560809 in words is "twelve billion, eight hundred thirteen million, five hundred sixty thousand, eight hundred nine".