205345122365 has 16 divisors (see below), whose sum is σ = 261176253552. Its totient is φ = 154454482944.

The previous prime is 205345122347. The next prime is 205345122371. The reversal of 205345122365 is 563221543502.

It can be written as a sum of positive squares in 8 ways, for example, as 36881666116 + 168463456249 = 192046^2 + 410443^2 .

It is a cyclic number.

It is not a de Polignac number, because 205345122365 - 2²⁴ = 205328345149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153304 + ... + 1319393.

It is an arithmetic number, because the mean of its divisors is an integer number (16323515847).

Almost surely, 2^205345122365 is an apocalyptic number.

It is an amenable number.

205345122365 is a deficient number, since it is larger than the sum of its proper divisors (55831131187).

205345122365 is a wasteful number, since it uses less digits than its factorization.

205345122365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473696.

The product of its (nonzero) digits is 216000, while the sum is 38.

Adding to 205345122365 its reverse (563221543502), we get a palindrome (768566665867).

The spelling of 205345122365 in words is "two hundred five billion, three hundred forty-five million, one hundred twenty-two thousand, three hundred sixty-five".