2005204313 has 12 divisors (see below), whose sum is σ = 2341468800. Its totient is φ = 1712200392.

The previous prime is 2005204301. The next prime is 2005204351. The reversal of 2005204313 is 3134025002.

It is a happy number.

It is not a de Polignac number, because 2005204313 - 2⁶ = 2005204249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005204013) 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 11 ways as a sum of consecutive naturals, for example, 64913 + ... + 90686.

It is an arithmetic number, because the mean of its divisors is an integer number (195122400).

Almost surely, 2^2005204313 is an apocalyptic number.

It is an amenable number.

2005204313 is a deficient number, since it is larger than the sum of its proper divisors (336264487).

2005204313 is a wasteful number, since it uses less digits than its factorization.

2005204313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155876 (or 155869 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2005204313 is about 44779.5077351237. The cubic root of 2005204313 is about 1261.0129406015.

Adding to 2005204313 its reverse (3134025002), we get a palindrome (5139229315).

The spelling of 2005204313 in words is "two billion, five million, two hundred four thousand, three hundred thirteen".