212105305553 has 2 divisors, whose sum is σ = 212105305554. Its totient is φ = 212105305552.

The previous prime is 212105305523. The next prime is 212105305567. The reversal of 212105305553 is 355503501212.

212105305553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152836429249 + 59268876304 = 390943^2 + 243452^2 .

It is a cyclic number.

It is not a de Polignac number, because 212105305553 - 2¹⁰ = 212105304529 is a prime.

It is not a weakly prime, because it can be changed into another prime (212105305523) 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, 106052652776 + 106052652777.

It is an arithmetic number, because the mean of its divisors is an integer number (106052652777).

Almost surely, 2^212105305553 is an apocalyptic number.

It is an amenable number.

212105305553 is a deficient number, since it is larger than the sum of its proper divisors (1).

212105305553 is an equidigital number, since it uses as much as digits as its factorization.

212105305553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22500, while the sum is 32.

Adding to 212105305553 its reverse (355503501212), we get a palindrome (567608806765).

The spelling of 212105305553 in words is "two hundred twelve billion, one hundred five million, three hundred five thousand, five hundred fifty-three".