13002005 has 8 divisors (see below), whose sum is σ = 16140600. Its totient is φ = 10042816.

The previous prime is 13001993. The next prime is 13002019. The reversal of 13002005 is 50020031.

13002005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 625681 + 12376324 = 791^2 + 3518^2 .

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

It is not a de Polignac number, because 13002005 - 2⁸ = 13001749 is a prime.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 44690 + ... + 44979.

It is an arithmetic number, because the mean of its divisors is an integer number (2017575).

Almost surely, 2^13002005 is an apocalyptic number.

It is an amenable number.

13002005 is a deficient number, since it is larger than the sum of its proper divisors (3138595).

13002005 is an equidigital number, since it uses as much as digits as its factorization.

13002005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89703.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 13002005 is about 3605.8293082175. The cubic root of 13002005 is about 235.1455564226.

Adding to 13002005 its reverse (50020031), we get a palindrome (63022036).

The spelling of 13002005 in words is "thirteen million, two thousand, five".