205461235072967 has 2 divisors, whose sum is σ = 205461235072968. Its totient is φ = 205461235072966.

The previous prime is 205461235072937. The next prime is 205461235073009. The reversal of 205461235072967 is 769270532164502.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 205461235072967 - 2¹⁸ = 205461234810823 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205461235072937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102730617536483 + 102730617536484.

It is an arithmetic number, because the mean of its divisors is an integer number (102730617536484).

Almost surely, 2^{205461235072967} is an apocalyptic number.

205461235072967 is a deficient number, since it is larger than the sum of its proper divisors (1).

205461235072967 is an equidigital number, since it uses as much as digits as its factorization.

205461235072967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38102400, while the sum is 59.

The spelling of 205461235072967 in words is "two hundred five trillion, four hundred sixty-one billion, two hundred thirty-five million, seventy-two thousand, nine hundred sixty-seven".