205345055061 has 48 divisors (see below), whose sum is σ = 306148418160. Its totient is φ = 132532899840.

The previous prime is 205345055009. The next prime is 205345055081. The reversal of 205345055061 is 160550543502.

205345055061 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 45 + 0 + 550 + 61 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 141491025 + 205203564036 = 11895^2 + 452994^2 .

It is not a de Polignac number, because 205345055061 - 2⁷ = 205345054933 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205345055081) 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, 63592395 + ... + 63595623.

It is an arithmetic number, because the mean of its divisors is an integer number (6378092045).

Almost surely, 2^205345055061 is an apocalyptic number.

It is an amenable number.

205345055061 is a deficient number, since it is larger than the sum of its proper divisors (100803363099).

205345055061 is a wasteful number, since it uses less digits than its factorization.

205345055061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 205345055061 its reverse (160550543502), we get a palindrome (365895598563).

The spelling of 205345055061 in words is "two hundred five billion, three hundred forty-five million, fifty-five thousand, sixty-one".