13679875521 has 27 divisors (see below), whose sum is σ = 21403865379. Its totient is φ = 8415577872.

The previous prime is 13679875519. The next prime is 13679875553. The reversal of 13679875521 is 12557897631.

The square root of 13679875521 is 116961.

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

13679875521 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 9 + 87 + 552 + 1 = 666.

13679875521 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., 2023650225 + 11656225296 = 44985^2 + 107964^2 .

It is not a de Polignac number, because 13679875521 - 2¹ = 13679875519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13679875591) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 4559980 + ... + 4562978.

Almost surely, 2^13679875521 is an apocalyptic number.

13679875521 is the 116961-st square number.

13679875521 is the 58481-st centered octagonal number.

It is an amenable number.

13679875521 is a deficient number, since it is larger than the sum of its proper divisors (7723989858).

13679875521 is an frugal number, since it uses more digits than its factorization.

13679875521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030 (or 3015 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 13679875521 in words is "thirteen billion, six hundred seventy-nine million, eight hundred seventy-five thousand, five hundred twenty-one".