13005006 has 64 divisors (see below), whose sum is σ = 32102400. Its totient is φ = 3429216.

The previous prime is 13004993. The next prime is 13005007. The reversal of 13005006 is 60050031.

13005006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 34125 + ... + 34503.

It is an arithmetic number, because the mean of its divisors is an integer number (501600).

Almost surely, 2^13005006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13005006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16051200).

13005006 is an abundant number, since it is smaller than the sum of its proper divisors (19097394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13005006 is a wasteful number, since it uses less digits than its factorization.

13005006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13005006 is about 3606.2454159416. The cubic root of 13005006 is about 235.1636463897.

Adding to 13005006 its reverse (60050031), we get a palindrome (73055037).

The spelling of 13005006 in words is "thirteen million, five thousand, six".