13682513 has 8 divisors (see below), whose sum is σ = 14985600. Its totient is φ = 12415248.

The previous prime is 13682509. The next prime is 13682551. The reversal of 13682513 is 31528631.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13682513 - 2² = 13682509 is a prime.

It is a super-2 number, since 2×13682513² = 374422323990338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13682503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8153 + ... + 9686.

It is an arithmetic number, because the mean of its divisors is an integer number (1873200).

Almost surely, 2^13682513 is an apocalyptic number.

13682513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13682513 is a deficient number, since it is larger than the sum of its proper divisors (1303087).

13682513 is a wasteful number, since it uses less digits than its factorization.

13682513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17911.

The product of its digits is 4320, while the sum is 29.

The square root of 13682513 is about 3698.9881048741. The cubic root of 13682513 is about 239.1784000902.

The spelling of 13682513 in words is "thirteen million, six hundred eighty-two thousand, five hundred thirteen".