82805532461017 has 2 divisors, whose sum is σ = 82805532461018. Its totient is φ = 82805532461016.

The previous prime is 82805532460993. The next prime is 82805532461021. The reversal of 82805532461017 is 71016423550828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65002035763456 + 17803496697561 = 8062384^2 + 4219419^2 .

It is a cyclic number.

It is not a de Polignac number, because 82805532461017 - 2³⁹ = 82255776647129 is a prime.

It is a super-3 number, since 3×82805532461017³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (82805532461317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41402766230508 + 41402766230509.

It is an arithmetic number, because the mean of its divisors is an integer number (41402766230509).

Almost surely, 2^{82805532461017} is an apocalyptic number.

It is an amenable number.

82805532461017 is a deficient number, since it is larger than the sum of its proper divisors (1).

82805532461017 is an equidigital number, since it uses as much as digits as its factorization.

82805532461017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 82805532461017 in words is "eighty-two trillion, eight hundred five billion, five hundred thirty-two million, four hundred sixty-one thousand, seventeen".