2813721082217 has 2 divisors, whose sum is σ = 2813721082218. Its totient is φ = 2813721082216.

The previous prime is 2813721082181. The next prime is 2813721082273. The reversal of 2813721082217 is 7122801273182.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2508916609936 + 304804472281 = 1583956^2 + 552091^2 .

It is a cyclic number.

It is not a de Polignac number, because 2813721082217 - 2¹⁸ = 2813720820073 is a prime.

It is not a weakly prime, because it can be changed into another prime (2863721082217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1406860541108 + 1406860541109.

It is an arithmetic number, because the mean of its divisors is an integer number (1406860541109).

Almost surely, 2^{2813721082217} is an apocalyptic number.

It is an amenable number.

2813721082217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2813721082217 is an equidigital number, since it uses as much as digits as its factorization.

2813721082217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150528, while the sum is 44.

The spelling of 2813721082217 in words is "two trillion, eight hundred thirteen billion, seven hundred twenty-one million, eighty-two thousand, two hundred seventeen".