4523045888593 has 2 divisors, whose sum is σ = 4523045888594. Its totient is φ = 4523045888592.

The previous prime is 4523045888591. The next prime is 4523045888609. The reversal of 4523045888593 is 3958885403254.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4184778022929 + 338267865664 = 2045673^2 + 581608^2 .

It is a cyclic number.

It is not a de Polignac number, because 4523045888593 - 2¹ = 4523045888591 is a prime.

It is a super-2 number, since 2×4523045888593² (a number of 26 digits) contains 22 as substring.

Together with 4523045888591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4523045888591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2261522944296 + 2261522944297.

It is an arithmetic number, because the mean of its divisors is an integer number (2261522944297).

Almost surely, 2^{4523045888593} is an apocalyptic number.

It is an amenable number.

4523045888593 is a deficient number, since it is larger than the sum of its proper divisors (1).

4523045888593 is an equidigital number, since it uses as much as digits as its factorization.

4523045888593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888000, while the sum is 64.

The spelling of 4523045888593 in words is "four trillion, five hundred twenty-three billion, forty-five million, eight hundred eighty-eight thousand, five hundred ninety-three".