13523265 has 36 divisors (see below), whose sum is σ = 27271764. Its totient is φ = 6181056.

The previous prime is 13523249. The next prime is 13523267. The reversal of 13523265 is 56232531.

It can be written as a sum of positive squares in 2 ways, for example, as 9790641 + 3732624 = 3129^2 + 1932^2 .

It is not a de Polignac number, because 13523265 - 2⁴ = 13523249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13523267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 862 + ... + 5271.

It is an arithmetic number, because the mean of its divisors is an integer number (757549).

Almost surely, 2^13523265 is an apocalyptic number.

13523265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13523265 is an abundant number, since it is smaller than the sum of its proper divisors (13748499).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13523265 is a wasteful number, since it uses less digits than its factorization.

13523265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6148 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 13523265 is about 3677.3992168379. The cubic root of 13523265 is about 238.2468603546.

Adding to 13523265 its reverse (56232531), we get a palindrome (69755796).

The spelling of 13523265 in words is "thirteen million, five hundred twenty-three thousand, two hundred sixty-five".