2005705105093 has 2 divisors, whose sum is σ = 2005705105094. Its totient is φ = 2005705105092.

The previous prime is 2005705105091. The next prime is 2005705105121. The reversal of 2005705105093 is 3905015075002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1806505347969 + 199199757124 = 1344063^2 + 446318^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005705105093 - 2¹ = 2005705105091 is a prime.

It is a super-2 number, since 2×2005705105093² (a number of 25 digits) contains 22 as substring.

Together with 2005705105091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005705105091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002852552546 + 1002852552547.

It is an arithmetic number, because the mean of its divisors is an integer number (1002852552547).

Almost surely, 2^{2005705105093} is an apocalyptic number.

It is an amenable number.

2005705105093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005705105093 is an equidigital number, since it uses as much as digits as its factorization.

2005705105093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47250, while the sum is 37.

The spelling of 2005705105093 in words is "two trillion, five billion, seven hundred five million, one hundred five thousand, ninety-three".