211656560720993 has 2 divisors, whose sum is σ = 211656560720994. Its totient is φ = 211656560720992.

The previous prime is 211656560720953. The next prime is 211656560721019. The reversal of 211656560720993 is 399027065656112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201551174584384 + 10105386136609 = 14196872^2 + 3178897^2 .

It is a cyclic number.

It is not a de Polignac number, because 211656560720993 - 2¹⁰ = 211656560719969 is a prime.

It is not a weakly prime, because it can be changed into another prime (211656560720953) 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, 105828280360496 + 105828280360497.

It is an arithmetic number, because the mean of its divisors is an integer number (105828280360497).

Almost surely, 2^{211656560720993} is an apocalyptic number.

It is an amenable number.

211656560720993 is a deficient number, since it is larger than the sum of its proper divisors (1).

211656560720993 is an equidigital number, since it uses as much as digits as its factorization.

211656560720993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36741600, while the sum is 62.

The spelling of 211656560720993 in words is "two hundred eleven trillion, six hundred fifty-six billion, five hundred sixty million, seven hundred twenty thousand, nine hundred ninety-three".