2004513 has 16 divisors (see below), whose sum is σ = 3113856. Its totient is φ = 1123200.

The previous prime is 2004511. The next prime is 2004529. The reversal of 2004513 is 3154002.

It is not a de Polignac number, because 2004513 - 2¹ = 2004511 is a prime.

2004513 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2004492 and 2004501.

It is not an unprimeable number, because it can be changed into a prime (2004511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213 + ... + 2013.

It is an arithmetic number, because the mean of its divisors is an integer number (194616).

2^2004513 is an apocalyptic number.

It is an amenable number.

2004513 is a deficient number, since it is larger than the sum of its proper divisors (1109343).

2004513 is a wasteful number, since it uses less digits than its factorization.

2004513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864.

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

The square root of 2004513 is about 1415.8082497288. The cubic root of 2004513 is about 126.0868008597.

Adding to 2004513 its reverse (3154002), we get a palindrome (5158515).

The spelling of 2004513 in words is "two million, four thousand, five hundred thirteen".