2205308813 has 2 divisors, whose sum is σ = 2205308814. Its totient is φ = 2205308812.

The previous prime is 2205308773. The next prime is 2205308827. The reversal of 2205308813 is 3188035022.

2205308813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2169044329 + 36264484 = 46573^2 + 6022^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205308813 - 2¹⁴ = 2205292429 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2205308813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2205308843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102654406 + 1102654407.

It is an arithmetic number, because the mean of its divisors is an integer number (1102654407).

Almost surely, 2^2205308813 is an apocalyptic number.

It is an amenable number.

2205308813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205308813 is an equidigital number, since it uses as much as digits as its factorization.

2205308813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 2205308813 is about 46960.7156355182. The cubic root of 2205308813 is about 1301.6367575172.

The spelling of 2205308813 in words is "two billion, two hundred five million, three hundred eight thousand, eight hundred thirteen".