205762882097 has 2 divisors, whose sum is σ = 205762882098. Its totient is φ = 205762882096.

The previous prime is 205762882063. The next prime is 205762882103. The reversal of 205762882097 is 790288267502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170081183281 + 35681698816 = 412409^2 + 188896^2 .

It is a cyclic number.

It is not a de Polignac number, because 205762882097 - 2²⁴ = 205746104881 is a prime.

It is not a weakly prime, because it can be changed into another prime (205762882007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102881441048 + 102881441049.

It is an arithmetic number, because the mean of its divisors is an integer number (102881441049).

Almost surely, 2^205762882097 is an apocalyptic number.

It is an amenable number.

205762882097 is a deficient number, since it is larger than the sum of its proper divisors (1).

205762882097 is an equidigital number, since it uses as much as digits as its factorization.

205762882097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 205762882097 in words is "two hundred five billion, seven hundred sixty-two million, eight hundred eighty-two thousand, ninety-seven".