2705365005193 has 2 divisors, whose sum is σ = 2705365005194. Its totient is φ = 2705365005192.

The previous prime is 2705365005121. The next prime is 2705365005319. The reversal of 2705365005193 is 3915005635072.

Together with next prime (2705365005319) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2030844455929 + 674520549264 = 1425077^2 + 821292^2 .

It is a cyclic number.

It is not a de Polignac number, because 2705365005193 - 2³⁷ = 2567926051721 is a prime.

It is a super-2 number, since 2×2705365005193² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2705365005493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1352682502596 + 1352682502597.

It is an arithmetic number, because the mean of its divisors is an integer number (1352682502597).

Almost surely, 2^{2705365005193} is an apocalyptic number.

It is an amenable number.

2705365005193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2705365005193 is an equidigital number, since it uses as much as digits as its factorization.

2705365005193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 850500, while the sum is 46.

The spelling of 2705365005193 in words is "two trillion, seven hundred five billion, three hundred sixty-five million, five thousand, one hundred ninety-three".