705047607274113 has 12 divisors (see below), whose sum is σ = 1018404975357588. Its totient is φ = 470030410815840.

The previous prime is 705047607274039. The next prime is 705047607274133. The reversal of 705047607274113 is 311472706740507.

705047607274113 is a `hidden beast` number, since 7 + 0 + 5 + 0 + 4 + 7 + 607 + 27 + 4 + 1 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 361798174706049 + 343249432568064 = 19020993^2 + 18526992^2 .

It is not a de Polignac number, because 705047607274113 - 2⁸ = 705047607273857 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 705047607274113.

It is not an unprimeable number, because it can be changed into a prime (705047607274133) 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, 107244478 + ... + 113628663.

It is an arithmetic number, because the mean of its divisors is an integer number (84867081279799).

Almost surely, 2^{705047607274113} is an apocalyptic number.

It is an amenable number.

705047607274113 is a deficient number, since it is larger than the sum of its proper divisors (313357368083475).

705047607274113 is a wasteful number, since it uses less digits than its factorization.

705047607274113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221227824 (or 221227821 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 705047607274113 in words is "seven hundred five trillion, forty-seven billion, six hundred seven million, two hundred seventy-four thousand, one hundred thirteen".