205352123 has 2 divisors, whose sum is σ = 205352124. Its totient is φ = 205352122.

The previous prime is 205352099. The next prime is 205352137. The reversal of 205352123 is 321253502.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205352123 - 2¹⁸ = 205089979 is a prime.

It is not a weakly prime, because it can be changed into another prime (205352423) 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, 102676061 + 102676062.

It is an arithmetic number, because the mean of its divisors is an integer number (102676062).

Almost surely, 2^205352123 is an apocalyptic number.

205352123 is a deficient number, since it is larger than the sum of its proper divisors (1).

205352123 is an equidigital number, since it uses as much as digits as its factorization.

205352123 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 205352123 is about 14330.1124559440. The cubic root of 205352123 is about 589.9742620200.

The spelling of 205352123 in words is "two hundred five million, three hundred fifty-two thousand, one hundred twenty-three".