13079581956 has 135 divisors (see below), whose sum is σ = 38669768501. Its totient is φ = 3727416672.

The previous prime is 13079581951. The next prime is 13079581979. The reversal of 13079581956 is 65918597031.

The square root of 13079581956 is 114366.

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

13079581956 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 9 + 581 + 9 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3087580356 + 9992001600 = 55566^2 + 99960^2 .

It is not an unprimeable number, because it can be changed into a prime (13079581951) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33623410 + ... + 33623798.

Almost surely, 2^13079581956 is an apocalyptic number.

13079581956 is the 114366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13079581956

13079581956 is an abundant number, since it is smaller than the sum of its proper divisors (25590186545).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13079581956 is an frugal number, since it uses more digits than its factorization.

13079581956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 13079581956 in words is "thirteen billion, seventy-nine million, five hundred eighty-one thousand, nine hundred fifty-six".