205144434313 has 32 divisors (see below), whose sum is σ = 266071905792. Its totient is φ = 153717696000.

The previous prime is 205144434283. The next prime is 205144434331. The reversal of 205144434313 is 313434441502.

It is a cyclic number.

It is not a de Polignac number, because 205144434313 - 2²⁵ = 205110879881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205144435313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273828 + ... + 696613.

It is an arithmetic number, because the mean of its divisors is an integer number (8314747056).

Almost surely, 2^205144434313 is an apocalyptic number.

205144434313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205144434313 is a deficient number, since it is larger than the sum of its proper divisors (60927471479).

205144434313 is a wasteful number, since it uses less digits than its factorization.

205144434313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970585.

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 205144434313 its reverse (313434441502), we get a palindrome (518578875815).

The spelling of 205144434313 in words is "two hundred five billion, one hundred forty-four million, four hundred thirty-four thousand, three hundred thirteen".