2705417636093 has 2 divisors, whose sum is σ = 2705417636094. Its totient is φ = 2705417636092.

The previous prime is 2705417636071. The next prime is 2705417636161. The reversal of 2705417636093 is 3906367145072.

2705417636093 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1517572682404 + 1187844953689 = 1231898^2 + 1089883^2 .

It is a cyclic number.

It is not a de Polignac number, because 2705417636093 - 2¹⁸ = 2705417373949 is a prime.

It is a super-3 number, since 3×2705417636093³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2705417636293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1352708818046 + 1352708818047.

It is an arithmetic number, because the mean of its divisors is an integer number (1352708818047).

Almost surely, 2^{2705417636093} is an apocalyptic number.

It is an amenable number.

2705417636093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2705417636093 is an equidigital number, since it uses as much as digits as its factorization.

2705417636093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5715360, while the sum is 53.

The spelling of 2705417636093 in words is "two trillion, seven hundred five billion, four hundred seventeen million, six hundred thirty-six thousand, ninety-three".