211220252329 has 2 divisors, whose sum is σ = 211220252330. Its totient is φ = 211220252328.

The previous prime is 211220252303. The next prime is 211220252363. The reversal of 211220252329 is 923252022112.

211220252329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126983897104 + 84236355225 = 356348^2 + 290235^2 .

It is a cyclic number.

It is not a de Polignac number, because 211220252329 - 2²¹ = 211218155177 is a prime.

It is a super-2 number, since 2×211220252329² (a number of 23 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 211220252329.

It is not a weakly prime, because it can be changed into another prime (211220252389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610126164 + 105610126165.

It is an arithmetic number, because the mean of its divisors is an integer number (105610126165).

Almost surely, 2^211220252329 is an apocalyptic number.

It is an amenable number.

211220252329 is a deficient number, since it is larger than the sum of its proper divisors (1).

211220252329 is an equidigital number, since it uses as much as digits as its factorization.

211220252329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 211220252329 in words is "two hundred eleven billion, two hundred twenty million, two hundred fifty-two thousand, three hundred twenty-nine".