205116635061 has 48 divisors (see below), whose sum is σ = 323808855552. Its totient is φ = 124353734400.

The previous prime is 205116635047. The next prime is 205116635081. The reversal of 205116635061 is 160536611502.

205116635061 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 16 + 635 + 0 + 6 + 1 = 666.

It is not a de Polignac number, because 205116635061 - 2¹¹ = 205116633013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205116635081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11895316 + ... + 11912546.

It is an arithmetic number, because the mean of its divisors is an integer number (6746017824).

Almost surely, 2^205116635061 is an apocalyptic number.

It is an amenable number.

205116635061 is a deficient number, since it is larger than the sum of its proper divisors (118692220491).

205116635061 is a wasteful number, since it uses less digits than its factorization.

205116635061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18754 (or 18751 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 205116635061 in words is "two hundred five billion, one hundred sixteen million, six hundred thirty-five thousand, sixty-one".