211808755756771 has 2 divisors, whose sum is σ = 211808755756772. Its totient is φ = 211808755756770.

The previous prime is 211808755756733. The next prime is 211808755756789. The reversal of 211808755756771 is 177657557808112.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 211808755756771 - 2⁹ = 211808755756259 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211808755756771.

It is not a weakly prime, because it can be changed into another prime (211808755856771) 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, 105904377878385 + 105904377878386.

It is an arithmetic number, because the mean of its divisors is an integer number (105904377878386).

Almost surely, 2^{211808755756771} is an apocalyptic number.

211808755756771 is a deficient number, since it is larger than the sum of its proper divisors (1).

211808755756771 is an equidigital number, since it uses as much as digits as its factorization.

211808755756771 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 230496000, while the sum is 70.

The spelling of 211808755756771 in words is "two hundred eleven trillion, eight hundred eight billion, seven hundred fifty-five million, seven hundred fifty-six thousand, seven hundred seventy-one".