211306166400353 has 2 divisors, whose sum is σ = 211306166400354. Its totient is φ = 211306166400352.

The previous prime is 211306166400349. The next prime is 211306166400451. The reversal of 211306166400353 is 353004661603112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112866571281424 + 98439595118929 = 10623868^2 + 9921673^2 .

It is a cyclic number.

It is not a de Polignac number, because 211306166400353 - 2² = 211306166400349 is a prime.

It is a super-2 number, since 2×211306166400353² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211306166400353.

It is not a weakly prime, because it can be changed into another prime (211306166430353) 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, 105653083200176 + 105653083200177.

It is an arithmetic number, because the mean of its divisors is an integer number (105653083200177).

Almost surely, 2^{211306166400353} is an apocalyptic number.

It is an amenable number.

211306166400353 is a deficient number, since it is larger than the sum of its proper divisors (1).

211306166400353 is an equidigital number, since it uses as much as digits as its factorization.

211306166400353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 211306166400353 in words is "two hundred eleven trillion, three hundred six billion, one hundred sixty-six million, four hundred thousand, three hundred fifty-three".