211320754817 has 2 divisors, whose sum is σ = 211320754818. Its totient is φ = 211320754816.

The previous prime is 211320754741. The next prime is 211320754819. The reversal of 211320754817 is 718457023112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177374903281 + 33945851536 = 421159^2 + 184244^2 .

It is a cyclic number.

It is not a de Polignac number, because 211320754817 - 2¹⁰ = 211320753793 is a prime.

It is a super-2 number, since 2×211320754817² (a number of 23 digits) contains 22 as substring.

Together with 211320754819, 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 (211320754819) 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, 105660377408 + 105660377409.

It is an arithmetic number, because the mean of its divisors is an integer number (105660377409).

Almost surely, 2^211320754817 is an apocalyptic number.

It is an amenable number.

211320754817 is a deficient number, since it is larger than the sum of its proper divisors (1).

211320754817 is an equidigital number, since it uses as much as digits as its factorization.

211320754817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94080, while the sum is 41.

Adding to 211320754817 its reverse (718457023112), we get a palindrome (929777777929).

The spelling of 211320754817 in words is "two hundred eleven billion, three hundred twenty million, seven hundred fifty-four thousand, eight hundred seventeen".