13505163 has 16 divisors (see below), whose sum is σ = 21474816. Its totient is φ = 7381440.

The previous prime is 13505153. The next prime is 13505171. The reversal of 13505163 is 36150531.

13505163 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13505163 - 2⁴ = 13505147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13505153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13498 + ... + 14463.

It is an arithmetic number, because the mean of its divisors is an integer number (1342176).

Almost surely, 2^13505163 is an apocalyptic number.

13505163 is a deficient number, since it is larger than the sum of its proper divisors (7969653).

13505163 is a wasteful number, since it uses less digits than its factorization.

13505163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27994.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 13505163 is about 3674.9371423196. The cubic root of 13505163 is about 238.1405085621.

Adding to 13505163 its reverse (36150531), we get a palindrome (49655694).

The spelling of 13505163 in words is "thirteen million, five hundred five thousand, one hundred sixty-three".