205355405343967 has 2 divisors, whose sum is σ = 205355405343968. Its totient is φ = 205355405343966.

The previous prime is 205355405343833. The next prime is 205355405344007. The reversal of 205355405343967 is 769343504553502.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205355405343967 - 2³¹ = 205353257860319 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205355405343667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102677702671983 + 102677702671984.

It is an arithmetic number, because the mean of its divisors is an integer number (102677702671984).

Almost surely, 2^{205355405343967} is an apocalyptic number.

205355405343967 is a deficient number, since it is larger than the sum of its proper divisors (1).

205355405343967 is an equidigital number, since it uses as much as digits as its factorization.

205355405343967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120000, while the sum is 61.

The spelling of 205355405343967 in words is "two hundred five trillion, three hundred fifty-five billion, four hundred five million, three hundred forty-three thousand, nine hundred sixty-seven".