211305116666009 has 2 divisors, whose sum is σ = 211305116666010. Its totient is φ = 211305116666008.

The previous prime is 211305116665897. The next prime is 211305116666051. The reversal of 211305116666009 is 900666611503112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131067808795225 + 80237307870784 = 11448485^2 + 8957528^2 .

It is a cyclic number.

It is not a de Polignac number, because 211305116666009 - 2⁴⁴ = 193712930621593 is a prime.

It is not a weakly prime, because it can be changed into another prime (211305116666509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105652558333004 + 105652558333005.

It is an arithmetic number, because the mean of its divisors is an integer number (105652558333005).

Almost surely, 2^{211305116666009} is an apocalyptic number.

It is an amenable number.

211305116666009 is a deficient number, since it is larger than the sum of its proper divisors (1).

211305116666009 is an equidigital number, since it uses as much as digits as its factorization.

211305116666009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 349920, while the sum is 47.

The spelling of 211305116666009 in words is "two hundred eleven trillion, three hundred five billion, one hundred sixteen million, six hundred sixty-six thousand, nine".