2705436827993 has 2 divisors, whose sum is σ = 2705436827994. Its totient is φ = 2705436827992.

The previous prime is 2705436827921. The next prime is 2705436828049. The reversal of 2705436827993 is 3997286345072.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2637905450569 + 67531377424 = 1624163^2 + 259868^2 .

It is a cyclic number.

It is not a de Polignac number, because 2705436827993 - 2¹⁰ = 2705436826969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2705436877993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1352718413996 + 1352718413997.

It is an arithmetic number, because the mean of its divisors is an integer number (1352718413997).

Almost surely, 2^{2705436827993} is an apocalyptic number.

It is an amenable number.

2705436827993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2705436827993 is an equidigital number, since it uses as much as digits as its factorization.

2705436827993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 137168640, while the sum is 65.

The spelling of 2705436827993 in words is "two trillion, seven hundred five billion, four hundred thirty-six million, eight hundred twenty-seven thousand, nine hundred ninety-three".