211451917217 has 2 divisors, whose sum is σ = 211451917218. Its totient is φ = 211451917216.

The previous prime is 211451917199. The next prime is 211451917219. The reversal of 211451917217 is 712719154112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210902296081 + 549621136 = 459241^2 + 23444^2 .

It is a cyclic number.

It is not a de Polignac number, because 211451917217 - 2²⁴ = 211435140001 is a prime.

Together with 211451917219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (211451917219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105725958608 + 105725958609.

It is an arithmetic number, because the mean of its divisors is an integer number (105725958609).

Almost surely, 2^211451917217 is an apocalyptic number.

It is an amenable number.

211451917217 is a deficient number, since it is larger than the sum of its proper divisors (1).

211451917217 is an equidigital number, since it uses as much as digits as its factorization.

211451917217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35280, while the sum is 41.

The spelling of 211451917217 in words is "two hundred eleven billion, four hundred fifty-one million, nine hundred seventeen thousand, two hundred seventeen".