993816609816593 has 2 divisors, whose sum is σ = 993816609816594. Its totient is φ = 993816609816592.

The previous prime is 993816609816533. The next prime is 993816609816601. The reversal of 993816609816593 is 395618906618399.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 569142278030209 + 424674331786384 = 23856703^2 + 20607628^2 .

It is a cyclic number.

It is not a de Polignac number, because 993816609816593 - 2¹⁶ = 993816609751057 is a prime.

It is not a weakly prime, because it can be changed into another prime (993816609816533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496908304908296 + 496908304908297.

It is an arithmetic number, because the mean of its divisors is an integer number (496908304908297).

Almost surely, 2^{993816609816593} is an apocalyptic number.

It is an amenable number.

993816609816593 is a deficient number, since it is larger than the sum of its proper divisors (1).

993816609816593 is an equidigital number, since it uses as much as digits as its factorization.

993816609816593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4081466880, while the sum is 83.

The spelling of 993816609816593 in words is "nine hundred ninety-three trillion, eight hundred sixteen billion, six hundred nine million, eight hundred sixteen thousand, five hundred ninety-three".