13613265 has 20 divisors (see below), whose sum is σ = 24403764. Its totient is φ = 7260192.

The previous prime is 13613239. The next prime is 13613269. The reversal of 13613265 is 56231631.

It can be written as a sum of positive squares in 2 ways, for example, as 4028049 + 9585216 = 2007^2 + 3096^2 .

It is not a de Polignac number, because 13613265 - 2⁵ = 13613233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13613269) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16402 + ... + 17211.

Almost surely, 2^13613265 is an apocalyptic number.

13613265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13613265 is a deficient number, since it is larger than the sum of its proper divisors (10790499).

13613265 is an equidigital number, since it uses as much as digits as its factorization.

13613265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33630 (or 33621 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 13613265 is about 3689.6158336607. The cubic root of 13613265 is about 238.7742188273.

Adding to 13613265 its reverse (56231631), we get a palindrome (69844896).

It can be divided in two parts, 13 and 613265, that added together give a triangular number (613278 = T₁₁₀₇).

The spelling of 13613265 in words is "thirteen million, six hundred thirteen thousand, two hundred sixty-five".