13005005 has 16 divisors (see below), whose sum is σ = 17539200. Its totient is φ = 9185088.

The previous prime is 13004993. The next prime is 13005007. The reversal of 13005005 is 50050031.

13005005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13005005 - 2⁴ = 13004989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2855 + ... + 5844.

It is an arithmetic number, because the mean of its divisors is an integer number (1096200).

Almost surely, 2^13005005 is an apocalyptic number.

It is an amenable number.

13005005 is a deficient number, since it is larger than the sum of its proper divisors (4534195).

13005005 is a wasteful number, since it uses less digits than its factorization.

13005005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8740.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 13005005 is about 3606.2452772933. The cubic root of 13005005 is about 235.1636403622.

Adding to 13005005 its reverse (50050031), we get a palindrome (63055036).

It can be divided in two parts, 1300500 and 5, that multiplied together give a square (6502500 = 2550²).

The spelling of 13005005 in words is "thirteen million, five thousand, five".