13500693 has 12 divisors (see below), whose sum is σ = 19769100. Its totient is φ = 8876736.

The previous prime is 13500691. The next prime is 13500733. The reversal of 13500693 is 39600531.

13500693 is digitally balanced in base 3, 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 2 ways, for example, as 11168964 + 2331729 = 3342^2 + 1527^2 .

It is not a de Polignac number, because 13500693 - 2¹ = 13500691 is a prime.

It is a super-2 number, since 2×13500693² = 364537422960498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9618 + ... + 10931.

It is an arithmetic number, because the mean of its divisors is an integer number (1647425).

Almost surely, 2^13500693 is an apocalyptic number.

It is an amenable number.

13500693 is a deficient number, since it is larger than the sum of its proper divisors (6268407).

13500693 is a wasteful number, since it uses less digits than its factorization.

13500693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20628 (or 20625 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 13500693 is about 3674.3289183196. The cubic root of 13500693 is about 238.1142320549.

The spelling of 13500693 in words is "thirteen million, five hundred thousand, six hundred ninety-three".