211117169729 has 2 divisors, whose sum is σ = 211117169730. Its totient is φ = 211117169728.

The previous prime is 211117169633. The next prime is 211117169779. The reversal of 211117169729 is 927961711112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116100340225 + 95016829504 = 340735^2 + 308248^2 .

It is a cyclic number.

It is not a de Polignac number, because 211117169729 - 2¹⁶ = 211117104193 is a prime.

It is not a weakly prime, because it can be changed into another prime (211117169779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105558584864 + 105558584865.

It is an arithmetic number, because the mean of its divisors is an integer number (105558584865).

Almost surely, 2^211117169729 is an apocalyptic number.

It is an amenable number.

211117169729 is a deficient number, since it is larger than the sum of its proper divisors (1).

211117169729 is an equidigital number, since it uses as much as digits as its factorization.

211117169729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 95256, while the sum is 47.

The spelling of 211117169729 in words is "two hundred eleven billion, one hundred seventeen million, one hundred sixty-nine thousand, seven hundred twenty-nine".