445413121314593 has 2 divisors, whose sum is σ = 445413121314594. Its totient is φ = 445413121314592.

The previous prime is 445413121314517. The next prime is 445413121314599. The reversal of 445413121314593 is 395413121314544.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408167391141409 + 37245730173184 = 20203153^2 + 6102928^2 .

It is a cyclic number.

It is not a de Polignac number, because 445413121314593 - 2²⁶ = 445413054205729 is a prime.

It is a super-3 number, since 3×445413121314593³ (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (445413121314599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222706560657296 + 222706560657297.

It is an arithmetic number, because the mean of its divisors is an integer number (222706560657297).

Almost surely, 2^{445413121314593} is an apocalyptic number.

It is an amenable number.

445413121314593 is a deficient number, since it is larger than the sum of its proper divisors (1).

445413121314593 is an equidigital number, since it uses as much as digits as its factorization.

445413121314593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3110400, while the sum is 50.

The spelling of 445413121314593 in words is "four hundred forty-five trillion, four hundred thirteen billion, one hundred twenty-one million, three hundred fourteen thousand, five hundred ninety-three".