5005005005 has 64 divisors (see below), whose sum is σ = 8144672256. Its totient is φ = 2851200000.

The previous prime is 5005004981. The next prime is 5005005007.

It is a happy number.

5005005005 is nontrivially palindromic in base 10.

5005005005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5005005005 - 2¹⁰ = 5005003981 is a prime.

5005005005 is a modest number, since divided by 5005005 gives 5 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005005007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500555 + ... + 510455.

It is an arithmetic number, because the mean of its divisors is an integer number (127260504).

Almost surely, 2^5005005005 is an apocalyptic number.

5005005005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5005005005 is a deficient number, since it is larger than the sum of its proper divisors (3139667251).

5005005005 is a wasteful number, since it uses less digits than its factorization.

5005005005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038.

The product of its (nonzero) digits is 625, while the sum is 20.

The square root of 5005005005 is about 70746.0599962994. The cubic root of 5005005005 is about 1710.5463189488.

It can be divided in two parts, 500500 and 5005, that multiplied together give a square (2505002500 = 50050²).

The spelling of 5005005005 in words is "five billion, five million, five thousand, five".