13005903 has 4 divisors (see below), whose sum is σ = 17341208. Its totient is φ = 8670600.

The previous prime is 13005893. The next prime is 13005911. The reversal of 13005903 is 30950031.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 13005903 - 2¹⁰ = 13004879 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13005903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2167648 + ... + 2167653.

It is an arithmetic number, because the mean of its divisors is an integer number (4335302).

Almost surely, 2^13005903 is an apocalyptic number.

13005903 is a deficient number, since it is larger than the sum of its proper divisors (4335305).

13005903 is an equidigital number, since it uses as much as digits as its factorization.

13005903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335304.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 13005903 is about 3606.3697813730. The cubic root of 13005903 is about 235.1690529473.

Adding to 13005903 its reverse (30950031), we get a palindrome (43955934).

The spelling of 13005903 in words is "thirteen million, five thousand, nine hundred three".