8191405158593 has 2 divisors, whose sum is σ = 8191405158594. Its totient is φ = 8191405158592.

The previous prime is 8191405158577. The next prime is 8191405158613. The reversal of 8191405158593 is 3958515041918.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5864645420209 + 2326759738384 = 2421703^2 + 1525372^2 .

It is a cyclic number.

It is not a de Polignac number, because 8191405158593 - 2⁴ = 8191405158577 is a prime.

It is a super-2 number, since 2×8191405158593² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8191405158553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4095702579296 + 4095702579297.

It is an arithmetic number, because the mean of its divisors is an integer number (4095702579297).

Almost surely, 2^{8191405158593} is an apocalyptic number.

It is an amenable number.

8191405158593 is a deficient number, since it is larger than the sum of its proper divisors (1).

8191405158593 is an equidigital number, since it uses as much as digits as its factorization.

8191405158593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776000, while the sum is 59.

The spelling of 8191405158593 in words is "eight trillion, one hundred ninety-one billion, four hundred five million, one hundred fifty-eight thousand, five hundred ninety-three".