204314420013017 has 2 divisors, whose sum is σ = 204314420013018. Its totient is φ = 204314420013016.

The previous prime is 204314420012999. The next prime is 204314420013029. The reversal of 204314420013017 is 710310024413402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156190730621641 + 48123689391376 = 12497629^2 + 6937124^2 .

It is a cyclic number.

It is not a de Polignac number, because 204314420013017 - 2⁸ = 204314420012761 is a prime.

It is a super-3 number, since 3×204314420013017³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (204314420013097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102157210006508 + 102157210006509.

It is an arithmetic number, because the mean of its divisors is an integer number (102157210006509).

Almost surely, 2^{204314420013017} is an apocalyptic number.

It is an amenable number.

204314420013017 is a deficient number, since it is larger than the sum of its proper divisors (1).

204314420013017 is an equidigital number, since it uses as much as digits as its factorization.

204314420013017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 204314420013017 its reverse (710310024413402), we get a palindrome (914624444426419).

The spelling of 204314420013017 in words is "two hundred four trillion, three hundred fourteen billion, four hundred twenty million, thirteen thousand, seventeen".