2205302010817 has 2 divisors, whose sum is σ = 2205302010818. Its totient is φ = 2205302010816.

The previous prime is 2205302010799. The next prime is 2205302010949. The reversal of 2205302010817 is 7180102035022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2183112631296 + 22189379521 = 1477536^2 + 148961^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205302010817 - 2⁷ = 2205302010689 is a prime.

It is not a weakly prime, because it can be changed into another prime (2205302040817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102651005408 + 1102651005409.

It is an arithmetic number, because the mean of its divisors is an integer number (1102651005409).

Almost surely, 2^{2205302010817} is an apocalyptic number.

It is an amenable number.

2205302010817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205302010817 is an equidigital number, since it uses as much as digits as its factorization.

2205302010817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

Adding to 2205302010817 its reverse (7180102035022), we get a palindrome (9385404045839).

The spelling of 2205302010817 in words is "two trillion, two hundred five billion, three hundred two million, ten thousand, eight hundred seventeen".