4205215872017 has 2 divisors, whose sum is σ = 4205215872018. Its totient is φ = 4205215872016.

The previous prime is 4205215871977. The next prime is 4205215872023. The reversal of 4205215872017 is 7102785125024.

4205215872017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3861228930001 + 343986942016 = 1965001^2 + 586504^2 .

It is a cyclic number.

It is not a de Polignac number, because 4205215872017 - 2⁶ = 4205215871953 is a prime.

It is not a weakly prime, because it can be changed into another prime (4205215875017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2102607936008 + 2102607936009.

It is an arithmetic number, because the mean of its divisors is an integer number (2102607936009).

Almost surely, 2^{4205215872017} is an apocalyptic number.

It is an amenable number.

4205215872017 is a deficient number, since it is larger than the sum of its proper divisors (1).

4205215872017 is an equidigital number, since it uses as much as digits as its factorization.

4205215872017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 313600, while the sum is 44.

The spelling of 4205215872017 in words is "four trillion, two hundred five billion, two hundred fifteen million, eight hundred seventy-two thousand, seventeen".