13205507 has 8 divisors (see below), whose sum is σ = 15131232. Its totient is φ = 11289600.

The previous prime is 13205477. The next prime is 13205509. The reversal of 13205507 is 70550231.

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

It is not a de Polignac number, because 13205507 - 2⁸ = 13205251 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13205509) 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 7 ways as a sum of consecutive naturals, for example, 707 + ... + 5187.

It is an arithmetic number, because the mean of its divisors is an integer number (1891404).

Almost surely, 2^13205507 is an apocalyptic number.

13205507 is a deficient number, since it is larger than the sum of its proper divisors (1925725).

13205507 is an equidigital number, since it uses as much as digits as its factorization.

13205507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 13205507 is about 3633.9382218194. The cubic root of 13205507 is about 236.3660113487.

Adding to 13205507 its reverse (70550231), we get a palindrome (83755738).

The spelling of 13205507 in words is "thirteen million, two hundred five thousand, five hundred seven".