13536565 has 16 divisors (see below), whose sum is σ = 18627840. Its totient is φ = 9250560.

The previous prime is 13536563. The next prime is 13536587. The reversal of 13536565 is 56563531.

13536565 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13536565 - 2¹ = 13536563 is a prime.

It is a super-3 number, since 3×13536565³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13536565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13536563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14925 + ... + 15805.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 2^13536565 is an apocalyptic number.

It is an amenable number.

13536565 is a deficient number, since it is larger than the sum of its proper divisors (5091275).

13536565 is an equidigital number, since it uses as much as digits as its factorization.

13536565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332.

The product of its digits is 40500, while the sum is 34.

The square root of 13536565 is about 3679.2071156704. The cubic root of 13536565 is about 238.3249392559.

The spelling of 13536565 in words is "thirteen million, five hundred thirty-six thousand, five hundred sixty-five".