2085734415593 has 2 divisors, whose sum is σ = 2085734415594. Its totient is φ = 2085734415592.

The previous prime is 2085734415587. The next prime is 2085734415601. The reversal of 2085734415593 is 3955144375802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2079239989849 + 6494425744 = 1441957^2 + 80588^2 .

It is a cyclic number.

It is not a de Polignac number, because 2085734415593 - 2⁸ = 2085734415337 is a prime.

It is not a weakly prime, because it can be changed into another prime (2085734445593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1042867207796 + 1042867207797.

It is an arithmetic number, because the mean of its divisors is an integer number (1042867207797).

Almost surely, 2^{2085734415593} is an apocalyptic number.

It is an amenable number.

2085734415593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2085734415593 is an equidigital number, since it uses as much as digits as its factorization.

2085734415593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144000, while the sum is 56.

The spelling of 2085734415593 in words is "two trillion, eighty-five billion, seven hundred thirty-four million, four hundred fifteen thousand, five hundred ninety-three".