12583679329 has 9 divisors (see below), whose sum is σ = 13627693593. Its totient is φ = 11614357872.

The previous prime is 12583679267. The next prime is 12583679357. The reversal of 12583679329 is 92397638521.

The square root of 12583679329 is 112177.

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

It can be written as a sum of positive squares in 4 ways, for example, as 139830625 + 12443848704 = 11825^2 + 111552^2 .

It is not a de Polignac number, because 12583679329 - 2¹⁵ = 12583646561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12583679329.

It is not an unprimeable number, because it can be changed into a prime (12583679029) 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, 1453987 + ... + 1462615.

It is an arithmetic number, because the mean of its divisors is an integer number (1514188177).

Almost surely, 2^12583679329 is an apocalyptic number.

12583679329 is the 112177-th square number.

12583679329 is the 56089-th centered octagonal number.

It is an amenable number.

12583679329 is a deficient number, since it is larger than the sum of its proper divisors (1044014264).

12583679329 is an frugal number, since it uses more digits than its factorization.

12583679329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17284 (or 8642 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 55.

The spelling of 12583679329 in words is "twelve billion, five hundred eighty-three million, six hundred seventy-nine thousand, three hundred twenty-nine".