2013305209 has 2 divisors, whose sum is σ = 2013305210. Its totient is φ = 2013305208.

The previous prime is 2013305167. The next prime is 2013305233. The reversal of 2013305209 is 9025033102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1710649600 + 302655609 = 41360^2 + 17397^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013305209 - 2⁷ = 2013305081 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013305269) 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 as a sum of consecutive naturals, namely, 1006652604 + 1006652605.

It is an arithmetic number, because the mean of its divisors is an integer number (1006652605).

Almost surely, 2^2013305209 is an apocalyptic number.

It is an amenable number.

2013305209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013305209 is an equidigital number, since it uses as much as digits as its factorization.

2013305209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 2013305209 is about 44869.8697234570. The cubic root of 2013305209 is about 1262.7087958952.

The spelling of 2013305209 in words is "two billion, thirteen million, three hundred five thousand, two hundred nine".