13500565 has 16 divisors (see below), whose sum is σ = 17564400. Its totient is φ = 9961536.

The previous prime is 13500551. The next prime is 13500589. The reversal of 13500565 is 56500531.

It can be written as a sum of positive squares in 8 ways, for example, as 5788836 + 7711729 = 2406^2 + 2777^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13500565 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10371 + ... + 11599.

It is an arithmetic number, because the mean of its divisors is an integer number (1097775).

Almost surely, 2^13500565 is an apocalyptic number.

It is an amenable number.

13500565 is a deficient number, since it is larger than the sum of its proper divisors (4063835).

13500565 is an equidigital number, since it uses as much as digits as its factorization.

13500565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 13500565 is about 3674.3115001317. The cubic root of 13500565 is about 238.1134795326.

The spelling of 13500565 in words is "thirteen million, five hundred thousand, five hundred sixty-five".