20271417543217 has 2 divisors, whose sum is σ = 20271417543218. Its totient is φ = 20271417543216.

The previous prime is 20271417543203. The next prime is 20271417543271. The reversal of 20271417543217 is 71234571417202.

Together with next prime (20271417543271) 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., 12845923342641 + 7425494200576 = 3584121^2 + 2724976^2 .

It is a cyclic number.

It is not a de Polignac number, because 20271417543217 - 2¹¹ = 20271417541169 is a prime.

It is a super-3 number, since 3×20271417543217³ (a number of 41 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 (20271417549217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10135708771608 + 10135708771609.

It is an arithmetic number, because the mean of its divisors is an integer number (10135708771609).

Almost surely, 2^{20271417543217} is an apocalyptic number.

It is an amenable number.

20271417543217 is a deficient number, since it is larger than the sum of its proper divisors (1).

20271417543217 is an equidigital number, since it uses as much as digits as its factorization.

20271417543217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 658560, while the sum is 46.

The spelling of 20271417543217 in words is "twenty trillion, two hundred seventy-one billion, four hundred seventeen million, five hundred forty-three thousand, two hundred seventeen".