211117904033 has 2 divisors, whose sum is σ = 211117904034. Its totient is φ = 211117904032.

The previous prime is 211117903991. The next prime is 211117904051. The reversal of 211117904033 is 330409711112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210613991329 + 503912704 = 458927^2 + 22448^2 .

It is a cyclic number.

It is not a de Polignac number, because 211117904033 - 2¹⁶ = 211117838497 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (211117964033) 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, 105558952016 + 105558952017.

It is an arithmetic number, because the mean of its divisors is an integer number (105558952017).

Almost surely, 2^211117904033 is an apocalyptic number.

It is an amenable number.

211117904033 is a deficient number, since it is larger than the sum of its proper divisors (1).

211117904033 is an equidigital number, since it uses as much as digits as its factorization.

211117904033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 211117904033 in words is "two hundred eleven billion, one hundred seventeen million, nine hundred four thousand, thirty-three".