205123253 has 2 divisors, whose sum is σ = 205123254. Its totient is φ = 205123252.

The previous prime is 205123229. The next prime is 205123267. The reversal of 205123253 is 352321502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122367844 + 82755409 = 11062^2 + 9097^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205123253 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205125253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102561626 + 102561627.

It is an arithmetic number, because the mean of its divisors is an integer number (102561627).

Almost surely, 2^205123253 is an apocalyptic number.

It is an amenable number.

205123253 is a deficient number, since it is larger than the sum of its proper divisors (1).

205123253 is an equidigital number, since it uses as much as digits as its factorization.

205123253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 205123253 is about 14322.1245979778. The cubic root of 205123253 is about 589.7550002592.

Adding to 205123253 its reverse (352321502), we get a palindrome (557444755).

The spelling of 205123253 in words is "two hundred five million, one hundred twenty-three thousand, two hundred fifty-three".