211162109090729 has 2 divisors, whose sum is σ = 211162109090730. Its totient is φ = 211162109090728.

The previous prime is 211162109090689. The next prime is 211162109090771. The reversal of 211162109090729 is 927090901261112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149105101939600 + 62057007151129 = 12210860^2 + 7877627^2 .

It is a cyclic number.

It is not a de Polignac number, because 211162109090729 - 2³² = 211157814123433 is a prime.

It is not a weakly prime, because it can be changed into another prime (211162109093729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105581054545364 + 105581054545365.

It is an arithmetic number, because the mean of its divisors is an integer number (105581054545365).

Almost surely, 2^{211162109090729} is an apocalyptic number.

It is an amenable number.

211162109090729 is a deficient number, since it is larger than the sum of its proper divisors (1).

211162109090729 is an equidigital number, since it uses as much as digits as its factorization.

211162109090729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 244944, while the sum is 50.

The spelling of 211162109090729 in words is "two hundred eleven trillion, one hundred sixty-two billion, one hundred nine million, ninety thousand, seven hundred twenty-nine".