12579641281 has 9 divisors (see below), whose sum is σ = 12803204323. Its totient is φ = 12359921800.

The previous prime is 12579641273. The next prime is 12579641299. The reversal of 12579641281 is 18214697521.

The square root of 12579641281 is 112159.

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., 1049176881 + 11530464400 = 32391^2 + 107380^2 .

It is not a de Polignac number, because 12579641281 - 2³ = 12579641273 is a prime.

It is a super-2 number, since 2×12579641281² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12579641381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6616431 + ... + 6618331.

Almost surely, 2^12579641281 is an apocalyptic number.

12579641281 is the 112159-th square number.

12579641281 is the 56080-th centered octagonal number.

It is an amenable number.

12579641281 is a deficient number, since it is larger than the sum of its proper divisors (223563042).

12579641281 is an frugal number, since it uses more digits than its factorization.

12579641281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 1960 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The spelling of 12579641281 in words is "twelve billion, five hundred seventy-nine million, six hundred forty-one thousand, two hundred eighty-one".