13682509 has 2 divisors, whose sum is σ = 13682510. Its totient is φ = 13682508.

The previous prime is 13682503. The next prime is 13682551. The reversal of 13682509 is 90528631.

13682509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12638025 + 1044484 = 3555^2 + 1022^2 .

It is a cyclic number.

It is not a de Polignac number, because 13682509 - 2¹⁷ = 13551437 is a prime.

It is a super-2 number, since 2×13682509² = 374422105070162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13682503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6841254 + 6841255.

It is an arithmetic number, because the mean of its divisors is an integer number (6841255).

Almost surely, 2^13682509 is an apocalyptic number.

It is an amenable number.

13682509 is a deficient number, since it is larger than the sum of its proper divisors (1).

13682509 is an equidigital number, since it uses as much as digits as its factorization.

13682509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 13682509 is about 3698.9875641856. The cubic root of 13682509 is about 239.1783767827.

The spelling of 13682509 in words is "thirteen million, six hundred eighty-two thousand, five hundred nine".