2004031133 has 8 divisors (see below), whose sum is σ = 2169372408. Its totient is φ = 1840287744.

The previous prime is 2004031121. The next prime is 2004031151. The reversal of 2004031133 is 3311304002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1737124 + 2002294009 = 1318^2 + 44747^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2004031133 - 2¹² = 2004027037 is a prime.

It is a super-2 number, since 2×2004031133² = 8032281564066527378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004031153) 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 7 ways as a sum of consecutive naturals, for example, 396860 + ... + 401877.

It is an arithmetic number, because the mean of its divisors is an integer number (271171551).

Almost surely, 2^2004031133 is an apocalyptic number.

It is an amenable number.

2004031133 is a deficient number, since it is larger than the sum of its proper divisors (165341275).

2004031133 is a wasteful number, since it uses less digits than its factorization.

2004031133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798943.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2004031133 is about 44766.4062998137. The cubic root of 2004031133 is about 1260.7669667023.

Adding to 2004031133 its reverse (3311304002), we get a palindrome (5315335135).

The spelling of 2004031133 in words is "two billion, four million, thirty-one thousand, one hundred thirty-three".