2004003133 has 32 divisors (see below), whose sum is σ = 2319777792. Its totient is φ = 1713465600.

The previous prime is 2004003119. The next prime is 2004003137. The reversal of 2004003133 is 3313004002.

It is not a de Polignac number, because 2004003133 - 2²¹ = 2001905981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004003137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5460316 + ... + 5460682.

It is an arithmetic number, because the mean of its divisors is an integer number (72493056).

Almost surely, 2^2004003133 is an apocalyptic number.

2004003133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2004003133 is a deficient number, since it is larger than the sum of its proper divisors (315774659).

2004003133 is a wasteful number, since it uses less digits than its factorization.

2004003133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2004003133 is about 44766.0935642144. The cubic root of 2004003133 is about 1260.7610949306.

Adding to 2004003133 its reverse (3313004002), we get a palindrome (5317007135).

The spelling of 2004003133 in words is "two billion, four million, three thousand, one hundred thirty-three".