11507 has 4 divisors (see below), whose sum is σ = 11856. Its totient is φ = 11160.

The previous prime is 11503. The next prime is 11519. The reversal of 11507 is 70511.

11507 is digitally balanced in base 3, 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 is a cyclic number.

It is not a de Polignac number, because 11507 - 2² = 11503 is a prime.

It is a super-2 number, since 2×11507² = 264822098, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 11491 and 11500.

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, 119 + ... + 192.

It is an arithmetic number, because the mean of its divisors is an integer number (2964).

2¹¹⁵⁰⁷ is an apocalyptic number.

11507 is a deficient number, since it is larger than the sum of its proper divisors (349).

11507 is an equidigital number, since it uses as much as digits as its factorization.

11507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 11507 is about 107.2706856508. The cubic root of 11507 is about 22.5763660314.

The spelling of 11507 in words is "eleven thousand, five hundred seven".