205128511250933 has 2 divisors, whose sum is σ = 205128511250934. Its totient is φ = 205128511250932.

The previous prime is 205128511250843. The next prime is 205128511250947. The reversal of 205128511250933 is 339052115821502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126410040941284 + 78718470309649 = 11243222^2 + 8872343^2 .

It is a cyclic number.

It is not a de Polignac number, because 205128511250933 - 2²⁸ = 205128242815477 is a prime.

It is a super-2 number, since 2×205128511250933² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205128511252933) 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 as a sum of consecutive naturals, namely, 102564255625466 + 102564255625467.

It is an arithmetic number, because the mean of its divisors is an integer number (102564255625467).

Almost surely, 2^{205128511250933} is an apocalyptic number.

It is an amenable number.

205128511250933 is a deficient number, since it is larger than the sum of its proper divisors (1).

205128511250933 is an equidigital number, since it uses as much as digits as its factorization.

205128511250933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648000, while the sum is 47.

The spelling of 205128511250933 in words is "two hundred five trillion, one hundred twenty-eight billion, five hundred eleven million, two hundred fifty thousand, nine hundred thirty-three".