205942596657 has 16 divisors (see below), whose sum is σ = 314489290752. Its totient is φ = 117429483600.

The previous prime is 205942596637. The next prime is 205942596661. The reversal of 205942596657 is 756695249502.

205942596657 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 205942596657 - 2¹⁴ = 205942580273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205942596657.

It is not an unprimeable number, because it can be changed into a prime (205942596637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10489969 + ... + 10509582.

It is an arithmetic number, because the mean of its divisors is an integer number (19655580672).

Almost surely, 2^205942596657 is an apocalyptic number.

It is an amenable number.

205942596657 is a deficient number, since it is larger than the sum of its proper divisors (108546694095).

205942596657 is a wasteful number, since it uses less digits than its factorization.

205942596657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21000028.

The product of its (nonzero) digits is 40824000, while the sum is 60.

The spelling of 205942596657 in words is "two hundred five billion, nine hundred forty-two million, five hundred ninety-six thousand, six hundred fifty-seven".