2013305205 has 32 divisors (see below), whose sum is σ = 3310715520. Its totient is φ = 1044126720.

The previous prime is 2013305167. The next prime is 2013305209. The reversal of 2013305205 is 5025033102.

It is not a de Polignac number, because 2013305205 - 2⁶ = 2013305141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013305209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187266 + ... + 197724.

It is an arithmetic number, because the mean of its divisors is an integer number (103459860).

Almost surely, 2^2013305205 is an apocalyptic number.

It is an amenable number.

2013305205 is a deficient number, since it is larger than the sum of its proper divisors (1297410315).

2013305205 is a wasteful number, since it uses less digits than its factorization.

2013305205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 2013305205 is about 44869.8696788836. The cubic root of 2013305205 is about 1262.7087950590.

Adding to 2013305205 its reverse (5025033102), we get a palindrome (7038338307).

The spelling of 2013305205 in words is "two billion, thirteen million, three hundred five thousand, two hundred five".