205501252724497 has 2 divisors, whose sum is σ = 205501252724498. Its totient is φ = 205501252724496.

The previous prime is 205501252724479. The next prime is 205501252724531. The reversal of 205501252724497 is 794427252105502.

Together with previous prime (205501252724479) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175432250167056 + 30069002557441 = 13245084^2 + 5483521^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205501252724497 is a prime.

It is not a weakly prime, because it can be changed into another prime (205501252724477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102750626362248 + 102750626362249.

It is an arithmetic number, because the mean of its divisors is an integer number (102750626362249).

Almost surely, 2^{205501252724497} is an apocalyptic number.

It is an amenable number.

205501252724497 is a deficient number, since it is larger than the sum of its proper divisors (1).

205501252724497 is an equidigital number, since it uses as much as digits as its factorization.

205501252724497 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14112000, while the sum is 55.

The spelling of 205501252724497 in words is "two hundred five trillion, five hundred one billion, two hundred fifty-two million, seven hundred twenty-four thousand, four hundred ninety-seven".