205005224205405 has 96 divisors (see below), whose sum is σ = 386842206887136. Its totient is φ = 99832902285312.

The previous prime is 205005224205401. The next prime is 205005224205407. The reversal of 205005224205405 is 504502422500502.

205005224205405 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 0 + 5 + 2 + 242 + 0 + 5 + 405 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4192121116089 + 200813103089316 = 2047467^2 + 14170854^2 .

It is not a de Polignac number, because 205005224205405 - 2² = 205005224205401 is a prime.

It is a super-2 number, since 2×205005224205405² (a number of 29 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 205005224205405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205005224205401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14796159 + ... + 25078611.

It is an arithmetic number, because the mean of its divisors is an integer number (4029606321741).

Almost surely, 2^{205005224205405} is an apocalyptic number.

It is an amenable number.

205005224205405 is a deficient number, since it is larger than the sum of its proper divisors (181836982681731).

205005224205405 is a wasteful number, since it uses less digits than its factorization.

205005224205405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10282847 (or 10282844 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

Adding to 205005224205405 its reverse (504502422500502), we get a palindrome (709507646705907).

The spelling of 205005224205405 in words is "two hundred five trillion, five billion, two hundred twenty-four million, two hundred five thousand, four hundred five".