205314212462125 has 32 divisors (see below), whose sum is σ = 275947464854880. Its totient is φ = 151613812224000.

The previous prime is 205314212462027. The next prime is 205314212462129. The reversal of 205314212462125 is 521264212413502.

It can be written as a sum of positive squares in 16 ways, for example, as 168449327312809 + 36864885149316 = 12978803^2 + 6071646^2 .

It is not a de Polignac number, because 205314212462125 - 2⁷ = 205314212461997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205314212462129) 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 31 ways as a sum of consecutive naturals, for example, 87747405 + ... + 90056845.

It is an arithmetic number, because the mean of its divisors is an integer number (8623358276715).

Almost surely, 2^{205314212462125} is an apocalyptic number.

205314212462125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205314212462125 is a deficient number, since it is larger than the sum of its proper divisors (70633252392755).

205314212462125 is a wasteful number, since it uses less digits than its factorization.

205314212462125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364178 (or 2364168 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 205314212462125 its reverse (521264212413502), we get a palindrome (726578424875627).

The spelling of 205314212462125 in words is "two hundred five trillion, three hundred fourteen billion, two hundred twelve million, four hundred sixty-two thousand, one hundred twenty-five".