2705973918813 has 12 divisors (see below), whose sum is σ = 4263958902528. Its totient is φ = 1639984193160.

The previous prime is 2705973918787. The next prime is 2705973918899. The reversal of 2705973918813 is 3188193795072.

2705973918813 is a `hidden beast` number, since 2 + 7 + 0 + 597 + 39 + 1 + 8 + 8 + 1 + 3 = 666.

2705973918813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2705973918813 - 2²¹ = 2705971821661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705973918013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13666534845 + ... + 13666535042.

It is an arithmetic number, because the mean of its divisors is an integer number (355329908544).

Almost surely, 2^{2705973918813} is an apocalyptic number.

It is an amenable number.

2705973918813 is a deficient number, since it is larger than the sum of its proper divisors (1557984983715).

2705973918813 is a wasteful number, since it uses less digits than its factorization.

2705973918813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27333069904 (or 27333069901 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 2705973918813 in words is "two trillion, seven hundred five billion, nine hundred seventy-three million, nine hundred eighteen thousand, eight hundred thirteen".