12580591829569 has 27 divisors (see below), whose sum is σ = 12888754489443. Its totient is φ = 12279753309648.

The previous prime is 12580591829471. The next prime is 12580591829579. The reversal of 12580591829569 is 96592819508521.

The square root of 12580591829569 is 3546913.

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., 704214680625 + 11876377148944 = 839175^2 + 3446212^2 .

It is not a de Polignac number, because 12580591829569 - 2¹³ = 12580591821377 is a prime.

It is a super-2 number, since 2×12580591829569² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12580591829498 and 12580591829507.

It is not an unprimeable number, because it can be changed into a prime (12580591829579) 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, 39686409399 + ... + 39686409715.

Almost surely, 2^{12580591829569} is an apocalyptic number.

12580591829569 is the 3546913-rd square number.

12580591829569 is the 1773457-th centered octagonal number.

It is an amenable number.

12580591829569 is a deficient number, since it is larger than the sum of its proper divisors (308162659874).

12580591829569 is an frugal number, since it uses more digits than its factorization.

12580591829569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 70.

The spelling of 12580591829569 in words is "twelve trillion, five hundred eighty billion, five hundred ninety-one million, eight hundred twenty-nine thousand, five hundred sixty-nine".