205513324105 has 16 divisors (see below), whose sum is σ = 268180189200. Its totient is φ = 150557294592.

The previous prime is 205513324103. The next prime is 205513324171. The reversal of 205513324105 is 501423315502.

It can be written as a sum of positive squares in 8 ways, for example, as 1546376976 + 203966947129 = 39324^2 + 451627^2 .

It is a cyclic number.

It is not a de Polignac number, because 205513324105 - 2¹ = 205513324103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205513324103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32669880 + ... + 32676169.

It is an arithmetic number, because the mean of its divisors is an integer number (16761261825).

Almost surely, 2^205513324105 is an apocalyptic number.

It is an amenable number.

205513324105 is a deficient number, since it is larger than the sum of its proper divisors (62666865095).

205513324105 is a wasteful number, since it uses less digits than its factorization.

205513324105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65346108.

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 205513324105 its reverse (501423315502), we get a palindrome (706936639607).

The spelling of 205513324105 in words is "two hundred five billion, five hundred thirteen million, three hundred twenty-four thousand, one hundred five".