2004042013 has 4 divisors (see below), whose sum is σ = 2073146940. Its totient is φ = 1934937088.

The previous prime is 2004041999. The next prime is 2004042023. The reversal of 2004042013 is 3102404002.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1025728729 + 978313284 = 32027^2 + 31278^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004042013 - 2¹³ = 2004033821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004042023) 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 3 ways as a sum of consecutive naturals, for example, 34552420 + ... + 34552477.

It is an arithmetic number, because the mean of its divisors is an integer number (518286735).

Almost surely, 2^2004042013 is an apocalyptic number.

It is an amenable number.

2004042013 is a deficient number, since it is larger than the sum of its proper divisors (69104927).

2004042013 is an equidigital number, since it uses as much as digits as its factorization.

2004042013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69104926.

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2004042013 is about 44766.5278193429. The cubic root of 2004042013 is about 1260.7692482902.

Adding to 2004042013 its reverse (3102404002), we get a palindrome (5106446015).

The spelling of 2004042013 in words is "two billion, four million, forty-two thousand, thirteen".