205813133 has 2 divisors, whose sum is σ = 205813134. Its totient is φ = 205813132.

The previous prime is 205813117. The next prime is 205813159. The reversal of 205813133 is 331318502.

It is an a-pointer prime, because the next prime (205813159) can be obtained adding 205813133 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116359369 + 89453764 = 10787^2 + 9458^2 .

It is a cyclic number.

It is not a de Polignac number, because 205813133 - 2⁴ = 205813117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205813633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102906566 + 102906567.

It is an arithmetic number, because the mean of its divisors is an integer number (102906567).

Almost surely, 2^205813133 is an apocalyptic number.

It is an amenable number.

205813133 is a deficient number, since it is larger than the sum of its proper divisors (1).

205813133 is an equidigital number, since it uses as much as digits as its factorization.

205813133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 205813133 is about 14346.1887970290. The cubic root of 205813133 is about 590.4154241756.

The spelling of 205813133 in words is "two hundred five million, eight hundred thirteen thousand, one hundred thirty-three".