212005133 has 2 divisors, whose sum is σ = 212005134. Its totient is φ = 212005132.

The previous prime is 212005127. The next prime is 212005139. The reversal of 212005133 is 331500212.

It is a balanced prime because it is at equal distance from previous prime (212005127) and next prime (212005139).

It can be written as a sum of positive squares in only one way, i.e., 202407529 + 9597604 = 14227^2 + 3098^2 .

It is a cyclic number.

It is not a de Polignac number, because 212005133 - 2²⁴ = 195227917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212005139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106002566 + 106002567.

It is an arithmetic number, because the mean of its divisors is an integer number (106002567).

Almost surely, 2^212005133 is an apocalyptic number.

It is an amenable number.

212005133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212005133 is an equidigital number, since it uses as much as digits as its factorization.

212005133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 212005133 is about 14560.3960454378. The cubic root of 212005133 is about 596.2780081102.

Adding to 212005133 its reverse (331500212), we get a palindrome (543505345).

The spelling of 212005133 in words is "two hundred twelve million, five thousand, one hundred thirty-three".