13005603 has 48 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 7612704.

The previous prime is 13005599. The next prime is 13005623. The reversal of 13005603 is 30650031.

13005603 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13005603 - 2² = 13005599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72568 + ... + 72746.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^13005603 is an apocalyptic number.

13005603 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13005603 is a deficient number, since it is larger than the sum of its proper divisors (9009117).

13005603 is a wasteful number, since it uses less digits than its factorization.

13005603 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13005603 is about 3606.3281880605. The cubic root of 13005603 is about 235.1672447617.

Adding to 13005603 its reverse (30650031), we get a palindrome (43655634).

It can be divided in two parts, 1300 and 5603, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 13005603 in words is "thirteen million, five thousand, six hundred three".