12819858513289 has 9 divisors (see below), whose sum is σ = 12836360677959. Its totient is φ = 12803377550040.

The previous prime is 12819858513283. The next prime is 12819858513299. The reversal of 12819858513289 is 98231585891821.

The square root of 12819858513289 is 3580483.

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., 7095535225 + 12812762978064 = 84235^2 + 3579492^2 .

It is not a de Polignac number, because 12819858513289 - 2²³ = 12819850124681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12819858513283) 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, 3548256847 + ... + 3548260459.

It is an arithmetic number, because the mean of its divisors is an integer number (1426262297551).

Almost surely, 2^{12819858513289} is an apocalyptic number.

12819858513289 is the 3580483-rd square number.

12819858513289 is the 1790242-nd centered octagonal number.

It is an amenable number.

12819858513289 is a deficient number, since it is larger than the sum of its proper divisors (16502164670).

12819858513289 is an frugal number, since it uses more digits than its factorization.

12819858513289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9208 (or 4604 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 70.

The spelling of 12819858513289 in words is "twelve trillion, eight hundred nineteen billion, eight hundred fifty-eight million, five hundred thirteen thousand, two hundred eighty-nine".