205106591771 has 2 divisors, whose sum is σ = 205106591772. Its totient is φ = 205106591770.

The previous prime is 205106591719. The next prime is 205106591773. The reversal of 205106591771 is 177195601502.

205106591771 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 is a cyclic number.

It is not a de Polignac number, because 205106591771 - 2⁶ = 205106591707 is a prime.

Together with 205106591773, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205106591773) 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, 102553295885 + 102553295886.

It is an arithmetic number, because the mean of its divisors is an integer number (102553295886).

Almost surely, 2^205106591771 is an apocalyptic number.

205106591771 is a deficient number, since it is larger than the sum of its proper divisors (1).

205106591771 is an equidigital number, since it uses as much as digits as its factorization.

205106591771 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 132300, while the sum is 44.

The spelling of 205106591771 in words is "two hundred five billion, one hundred six million, five hundred ninety-one thousand, seven hundred seventy-one".