5004004005 has 144 divisors (see below), whose sum is σ = 11735068800. Its totient is φ = 1919427840.

The previous prime is 5004004003. The next prime is 5004004007.

It is a happy number.

5004004005 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5004004003) and next prime (5004004007).

It is not a de Polignac number, because 5004004005 - 2¹ = 5004004003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004004001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 490446 + ... + 500544.

Almost surely, 2^5004004005 is an apocalyptic number.

5004004005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5004004005 is an abundant number, since it is smaller than the sum of its proper divisors (6731064795).

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

5004004005 is a wasteful number, since it uses less digits than its factorization.

5004004005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5004004005 is about 70738.9850436094. The cubic root of 5004004005 is about 1710.4322750383.

It can be divided in two parts, 500400 and 4005, that added together give a palindrome (504405).

The spelling of 5004004005 in words is "five billion, four million, four thousand, five".