205824373217 has 2 divisors, whose sum is σ = 205824373218. Its totient is φ = 205824373216.

The previous prime is 205824373187. The next prime is 205824373301. The reversal of 205824373217 is 712373428502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197350066081 + 8474307136 = 444241^2 + 92056^2 .

It is a cyclic number.

It is not a de Polignac number, because 205824373217 - 2⁸ = 205824372961 is a prime.

It is a super-2 number, since 2×205824373217² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (205824378217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102912186608 + 102912186609.

It is an arithmetic number, because the mean of its divisors is an integer number (102912186609).

Almost surely, 2^205824373217 is an apocalyptic number.

It is an amenable number.

205824373217 is a deficient number, since it is larger than the sum of its proper divisors (1).

205824373217 is an equidigital number, since it uses as much as digits as its factorization.

205824373217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 205824373217 in words is "two hundred five billion, eight hundred twenty-four million, three hundred seventy-three thousand, two hundred seventeen".