445413121314517 has 2 divisors, whose sum is σ = 445413121314518. Its totient is φ = 445413121314516.

The previous prime is 445413121314463. The next prime is 445413121314593. The reversal of 445413121314517 is 715413121314544.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 444598057224036 + 815064090481 = 21085494^2 + 902809^2 .

It is a cyclic number.

It is not a de Polignac number, because 445413121314517 - 2⁷ = 445413121314389 is a prime.

It is a super-3 number, since 3×445413121314517³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (445413121414517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222706560657258 + 222706560657259.

It is an arithmetic number, because the mean of its divisors is an integer number (222706560657259).

Almost surely, 2^{445413121314517} is an apocalyptic number.

It is an amenable number.

445413121314517 is a deficient number, since it is larger than the sum of its proper divisors (1).

445413121314517 is an equidigital number, since it uses as much as digits as its factorization.

445413121314517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 806400, while the sum is 46.

The spelling of 445413121314517 in words is "four hundred forty-five trillion, four hundred thirteen billion, one hundred twenty-one million, three hundred fourteen thousand, five hundred seventeen".