71828583618017 has 2 divisors, whose sum is σ = 71828583618018. Its totient is φ = 71828583618016.

The previous prime is 71828583617983. The next prime is 71828583618019. The reversal of 71828583618017 is 71081638582817.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54856523697361 + 16972059920656 = 7406519^2 + 4119716^2 .

It is a cyclic number.

It is not a de Polignac number, because 71828583618017 - 2⁶ = 71828583617953 is a prime.

Together with 71828583618019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (71828583618019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35914291809008 + 35914291809009.

It is an arithmetic number, because the mean of its divisors is an integer number (35914291809009).

Almost surely, 2^{71828583618017} is an apocalyptic number.

It is an amenable number.

71828583618017 is a deficient number, since it is larger than the sum of its proper divisors (1).

71828583618017 is an equidigital number, since it uses as much as digits as its factorization.

71828583618017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36126720, while the sum is 65.

The spelling of 71828583618017 in words is "seventy-one trillion, eight hundred twenty-eight billion, five hundred eighty-three million, six hundred eighteen thousand, seventeen".