13681513024 has 21 divisors (see below), whose sum is σ = 27151109401. Its totient is φ = 6840288640.

The previous prime is 13681512979. The next prime is 13681513031. The reversal of 13681513024 is 42031518631.

The square root of 13681513024 is 116968.

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

13681513024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1871424 + 13679641600 = 1368^2 + 116960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 928434 + ... + 943054.

Almost surely, 2^13681513024 is an apocalyptic number.

13681513024 is the 116968-th square number.

It is an amenable number.

13681513024 is a deficient number, since it is larger than the sum of its proper divisors (13469596377).

13681513024 is an frugal number, since it uses more digits than its factorization.

13681513024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29254 (or 14623 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 13681513024 in words is "thirteen billion, six hundred eighty-one million, five hundred thirteen thousand, twenty-four".