2706705106561 has 16 divisors (see below), whose sum is σ = 2811795020496. Its totient is φ = 2603692800000.

The previous prime is 2706705106559. The next prime is 2706705106607. The reversal of 2706705106561 is 1656015076072.

It is a happy number.

2706705106561 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 159106052161 + 2547599054400 = 398881^2 + 1596120^2 .

It is a cyclic number.

It is not a de Polignac number, because 2706705106561 - 2¹ = 2706705106559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2706705106541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358110 + ... + 2354071.

It is an arithmetic number, because the mean of its divisors is an integer number (175737188781).

Almost surely, 2^{2706705106561} is an apocalyptic number.

It is an amenable number.

2706705106561 is a deficient number, since it is larger than the sum of its proper divisors (105089913935).

2706705106561 is a wasteful number, since it uses less digits than its factorization.

2706705106561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712564.

The product of its (nonzero) digits is 529200, while the sum is 46.

The spelling of 2706705106561 in words is "two trillion, seven hundred six billion, seven hundred five million, one hundred six thousand, five hundred sixty-one".