4513597116593 has 2 divisors, whose sum is σ = 4513597116594. Its totient is φ = 4513597116592.

The previous prime is 4513597116569. The next prime is 4513597116599. The reversal of 4513597116593 is 3956117953154.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4208520955024 + 305076161569 = 2051468^2 + 552337^2 .

It is a cyclic number.

It is not a de Polignac number, because 4513597116593 - 2¹⁰ = 4513597115569 is a prime.

It is not a weakly prime, because it can be changed into another prime (4513597116599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2256798558296 + 2256798558297.

It is an arithmetic number, because the mean of its divisors is an integer number (2256798558297).

Almost surely, 2^{4513597116593} is an apocalyptic number.

It is an amenable number.

4513597116593 is a deficient number, since it is larger than the sum of its proper divisors (1).

4513597116593 is an equidigital number, since it uses as much as digits as its factorization.

4513597116593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15309000, while the sum is 59.

The spelling of 4513597116593 in words is "four trillion, five hundred thirteen billion, five hundred ninety-seven million, one hundred sixteen thousand, five hundred ninety-three".