2013302205 has 24 divisors (see below), whose sum is σ = 3509909208. Its totient is φ = 1067550336.

The previous prime is 2013302147. The next prime is 2013302227. The reversal of 2013302205 is 5022033102.

It can be written as a sum of positive squares in 4 ways, for example, as 936543609 + 1076758596 = 30603^2 + 32814^2 .

It is not a de Polignac number, because 2013302205 - 2⁷ = 2013302077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121522 + ... + 137091.

It is an arithmetic number, because the mean of its divisors is an integer number (146246217).

Almost surely, 2^2013302205 is an apocalyptic number.

It is an amenable number.

2013302205 is a deficient number, since it is larger than the sum of its proper divisors (1496607003).

2013302205 is a wasteful number, since it uses less digits than its factorization.

2013302205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258797 (or 258794 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2013302205 is about 44869.8362488655. The cubic root of 2013302205 is about 1262.7081678767.

Adding to 2013302205 its reverse (5022033102), we get a palindrome (7035335307).

The spelling of 2013302205 in words is "two billion, thirteen million, three hundred two thousand, two hundred five".