205142167441 has 2 divisors, whose sum is σ = 205142167442. Its totient is φ = 205142167440.

The previous prime is 205142167357. The next prime is 205142167481. The reversal of 205142167441 is 144761241502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111909651841 + 93232515600 = 334529^2 + 305340^2 .

It is a cyclic number.

It is not a de Polignac number, because 205142167441 - 2⁷ = 205142167313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205142167441.

It is not a weakly prime, because it can be changed into another prime (205142167481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102571083720 + 102571083721.

It is an arithmetic number, because the mean of its divisors is an integer number (102571083721).

Almost surely, 2^205142167441 is an apocalyptic number.

It is an amenable number.

205142167441 is a deficient number, since it is larger than the sum of its proper divisors (1).

205142167441 is an equidigital number, since it uses as much as digits as its factorization.

205142167441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 205142167441 in words is "two hundred five billion, one hundred forty-two million, one hundred sixty-seven thousand, four hundred forty-one".