205306345321 has 32 divisors (see below), whose sum is σ = 266546810880. Its totient is φ = 153439272000.

The previous prime is 205306345319. The next prime is 205306345327. The reversal of 205306345321 is 123543603502.

It is not a de Polignac number, because 205306345321 - 2¹ = 205306345319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205306345327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 32740 + ... + 641626.

It is an arithmetic number, because the mean of its divisors is an integer number (8329587840).

Almost surely, 2^205306345321 is an apocalyptic number.

It is an amenable number.

205306345321 is a deficient number, since it is larger than the sum of its proper divisors (61240465559).

205306345321 is a wasteful number, since it uses less digits than its factorization.

205306345321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609085.

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 205306345321 its reverse (123543603502), we get a palindrome (328849948823).

The spelling of 205306345321 in words is "two hundred five billion, three hundred six million, three hundred forty-five thousand, three hundred twenty-one".