2059516166417 has 2 divisors, whose sum is σ = 2059516166418. Its totient is φ = 2059516166416.

The previous prime is 2059516166359. The next prime is 2059516166423. The reversal of 2059516166417 is 7146616159502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1563077553361 + 496438613056 = 1250231^2 + 704584^2 .

It is a cyclic number.

It is not a de Polignac number, because 2059516166417 - 2¹⁶ = 2059516100881 is a prime.

It is not a weakly prime, because it can be changed into another prime (2059516166017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1029758083208 + 1029758083209.

It is an arithmetic number, because the mean of its divisors is an integer number (1029758083209).

Almost surely, 2^{2059516166417} is an apocalyptic number.

It is an amenable number.

2059516166417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2059516166417 is an equidigital number, since it uses as much as digits as its factorization.

2059516166417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2721600, while the sum is 53.

The spelling of 2059516166417 in words is "two trillion, fifty-nine billion, five hundred sixteen million, one hundred sixty-six thousand, four hundred seventeen".