2205505213 has 24 divisors (see below), whose sum is σ = 2382231096. Its totient is φ = 2040192000.

The previous prime is 2205505207. The next prime is 2205505229. The reversal of 2205505213 is 3125055022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1664803204 + 540702009 = 40802^2 + 23253^2 .

It is not a de Polignac number, because 2205505213 - 2²⁹ = 1668634301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205505243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5499813 + ... + 5500213.

It is an arithmetic number, because the mean of its divisors is an integer number (99259629).

Almost surely, 2^2205505213 is an apocalyptic number.

2205505213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2205505213 is a deficient number, since it is larger than the sum of its proper divisors (176725883).

2205505213 is a wasteful number, since it uses less digits than its factorization.

2205505213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 2205505213 is about 46962.8066984928. The cubic root of 2205505213 is about 1301.6753966818.

The spelling of 2205505213 in words is "two billion, two hundred five million, five hundred five thousand, two hundred thirteen".