13522 has 4 divisors (see below), whose sum is σ = 20286. Its totient is φ = 6760.

The previous prime is 13513. The next prime is 13523. The reversal of 13522 is 22531.

13522 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in only one way, i.e., 9801 + 3721 = 99^2 + 61^2 .

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (13523) by changing a digit.

13522 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3379 + ... + 3382.

2¹³⁵²² is an apocalyptic number.

13522 is a deficient number, since it is larger than the sum of its proper divisors (6764).

13522 is an equidigital number, since it uses as much as digits as its factorization.

13522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6763.

The product of its digits is 60, while the sum is 13.

The square root of 13522 is about 116.2841347734. The cubic root of 13522 is about 23.8239431387.

Subtracting 13522 from its reverse (22531), we obtain a palindrome (9009).

It can be divided in two parts, 1352 and 2, that multiplied together give a square (2704 = 52²).

The spelling of 13522 in words is "thirteen thousand, five hundred twenty-two".