13529 has 4 divisors (see below), whose sum is σ = 13776. Its totient is φ = 13284.

The previous prime is 13523. The next prime is 13537. The reversal of 13529 is 92531.

13529 is nontrivially palindromic in base 9.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 92531 = 17 ⋅5443.

It is a cyclic number.

It is not a de Polignac number, because 13529 - 2⁴ = 13513 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13529.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (3444).

2¹³⁵²⁹ is an apocalyptic number.

It is an amenable number.

13529 is a deficient number, since it is larger than the sum of its proper divisors (247).

13529 is an equidigital number, since it uses as much as digits as its factorization.

13529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246.

The product of its digits is 270, while the sum is 20.

The square root of 13529 is about 116.3142295680. The cubic root of 13529 is about 23.8280534487.

The spelling of 13529 in words is "thirteen thousand, five hundred twenty-nine".