13506 has 8 divisors (see below), whose sum is σ = 27024. Its totient is φ = 4500.

The previous prime is 13499. The next prime is 13513. The reversal of 13506 is 60531.

It is an interprime number because it is at equal distance from previous prime (13499) and next prime (13513).

It is a sphenic number, since it is the product of 3 distinct primes.

13506 is an admirable number.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is an unprimeable number.

13506 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1120 + ... + 1131.

It is an arithmetic number, because the mean of its divisors is an integer number (3378).

2¹³⁵⁰⁶ is an apocalyptic number.

13506 is the 74-th centered pentagonal number.

13506 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512).

13506 is a wasteful number, since it uses less digits than its factorization.

13506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13506 is about 116.2153174070. The cubic root of 13506 is about 23.8145428149.

It can be divided in two parts, 1350 and 6, that multiplied together give a square (8100 = 90²).

The spelling of 13506 in words is "thirteen thousand, five hundred six".