2004013005 has 32 divisors (see below), whose sum is σ = 3251888640. Its totient is φ = 1053706560.

The previous prime is 2004013001. The next prime is 2004013027. The reversal of 2004013005 is 5003104002.

It is not a de Polignac number, because 2004013005 - 2² = 2004013001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004013001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709486 + ... + 712304.

It is an arithmetic number, because the mean of its divisors is an integer number (101621520).

Almost surely, 2^2004013005 is an apocalyptic number.

It is an amenable number.

2004013005 is a deficient number, since it is larger than the sum of its proper divisors (1247875635).

2004013005 is a wasteful number, since it uses less digits than its factorization.

2004013005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2004013005 is about 44766.2038261008. The cubic root of 2004013005 is about 1260.7631651558.

Adding to 2004013005 its reverse (5003104002), we get a palindrome (7007117007).

The spelling of 2004013005 in words is "two billion, four million, thirteen thousand, five".