2004005003 has 32 divisors (see below), whose sum is σ = 2715525120. Its totient is φ = 1428140160.

The previous prime is 2004004997. The next prime is 2004005021. The reversal of 2004005003 is 3005004002.

It is a cyclic number.

It is not a de Polignac number, because 2004005003 - 2⁸ = 2004004747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2004005053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99926 + ... + 118292.

It is an arithmetic number, because the mean of its divisors is an integer number (84860160).

Almost surely, 2^2004005003 is an apocalyptic number.

2004005003 is a deficient number, since it is larger than the sum of its proper divisors (711520117).

2004005003 is a wasteful number, since it uses less digits than its factorization.

2004005003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18507.

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2004005003 is about 44766.1144505529. The cubic root of 2004005003 is about 1260.7614870828.

Adding to 2004005003 its reverse (3005004002), we get a palindrome (5009009005).

The spelling of 2004005003 in words is "two billion, four million, five thousand, three".