205814797713 has 96 divisors (see below), whose sum is σ = 355452364800. Its totient is φ = 112284057600.

The previous prime is 205814797711. The next prime is 205814797717. The reversal of 205814797713 is 317797418502.

205814797713 is a `hidden beast` number, since 2 + 0 + 581 + 47 + 9 + 7 + 7 + 13 = 666.

It is not a de Polignac number, because 205814797713 - 2¹ = 205814797711 is a prime.

It is a super-2 number, since 2×205814797713² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205814797713.

It is not an unprimeable number, because it can be changed into a prime (205814797711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98900833 + ... + 98902913.

It is an arithmetic number, because the mean of its divisors is an integer number (3702628800).

Almost surely, 2^205814797713 is an apocalyptic number.

It is an amenable number.

205814797713 is a deficient number, since it is larger than the sum of its proper divisors (149637567087).

205814797713 is a wasteful number, since it uses less digits than its factorization.

205814797713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 205814797713 in words is "two hundred five billion, eight hundred fourteen million, seven hundred ninety-seven thousand, seven hundred thirteen".