211824428129 has 2 divisors, whose sum is σ = 211824428130. Its totient is φ = 211824428128.

The previous prime is 211824428063. The next prime is 211824428159. The reversal of 211824428129 is 921824428112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158706624400 + 53117803729 = 398380^2 + 230473^2 .

It is a cyclic number.

It is not a de Polignac number, because 211824428129 - 2²⁴ = 211807650913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211824428129.

It is not a weakly prime, because it can be changed into another prime (211824428159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105912214064 + 105912214065.

It is an arithmetic number, because the mean of its divisors is an integer number (105912214065).

Almost surely, 2^211824428129 is an apocalyptic number.

It is an amenable number.

211824428129 is a deficient number, since it is larger than the sum of its proper divisors (1).

211824428129 is an equidigital number, since it uses as much as digits as its factorization.

211824428129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 147456, while the sum is 44.

The spelling of 211824428129 in words is "two hundred eleven billion, eight hundred twenty-four million, four hundred twenty-eight thousand, one hundred twenty-nine".