11506 has 8 divisors (see below), whose sum is σ = 18864. Its totient is φ = 5220.

The previous prime is 11503. The next prime is 11519. The reversal of 11506 is 60511.

11506 is nontrivially palindromic in base 8.

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

It is a plaindrome in base 12.

It is a nialpdrome in base 11 and base 13.

It is not an unprimeable number, because it can be changed into a prime (11503) 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, 240 + ... + 283.

It is an arithmetic number, because the mean of its divisors is an integer number (2358).

2¹¹⁵⁰⁶ is an apocalyptic number.

11506 is a deficient number, since it is larger than the sum of its proper divisors (7358).

11506 is a wasteful number, since it uses less digits than its factorization.

11506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 11506 is about 107.2660244439. The cubic root of 11506 is about 22.5757120231.

Subtracting from 11506 its product of nonzero digits (30), we obtain a triangular number (11476 = T₁₅₁).

It can be divided in two parts, 1150 and 6, that added together give a square (1156 = 34²).

The spelling of 11506 in words is "eleven thousand, five hundred six".