13507 has 4 divisors (see below), whose sum is σ = 14560. Its totient is φ = 12456.

The previous prime is 13499. The next prime is 13513. The reversal of 13507 is 70531.

13507 is nontrivially palindromic in base 12.

13507 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70531 = 251 ⋅281.

It is a cyclic number.

It is not a de Polignac number, because 13507 - 2³ = 13499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13537) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 507 + ... + 532.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2¹³⁵⁰⁷ is an apocalyptic number.

13507 is a deficient number, since it is larger than the sum of its proper divisors (1053).

13507 is a wasteful number, since it uses less digits than its factorization.

13507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 13507 is about 116.2196196862. The cubic root of 13507 is about 23.8151305526.

The spelling of 13507 in words is "thirteen thousand, five hundred seven".