13680513 has 48 divisors (see below), whose sum is σ = 25958400. Its totient is φ = 6726240.

The previous prime is 13680479. The next prime is 13680539. The reversal of 13680513 is 31508631.

13680513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13680513 - 2⁹ = 13680001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13680553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12648 + ... + 13686.

It is an arithmetic number, because the mean of its divisors is an integer number (540800).

Almost surely, 2^13680513 is an apocalyptic number.

It is an amenable number.

13680513 is a deficient number, since it is larger than the sum of its proper divisors (12277887).

13680513 is a wasteful number, since it uses less digits than its factorization.

13680513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13680513 is about 3698.7177507888. The cubic root of 13680513 is about 239.1667457957.

The spelling of 13680513 in words is "thirteen million, six hundred eighty thousand, five hundred thirteen".