205540133 has 2 divisors, whose sum is σ = 205540134. Its totient is φ = 205540132.

The previous prime is 205540079. The next prime is 205540163. The reversal of 205540133 is 331045502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204575809 + 964324 = 14303^2 + 982^2 .

It is a cyclic number.

It is not a de Polignac number, because 205540133 - 2¹⁴ = 205523749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205540099 and 205540108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205540163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102770066 + 102770067.

It is an arithmetic number, because the mean of its divisors is an integer number (102770067).

Almost surely, 2^205540133 is an apocalyptic number.

It is an amenable number.

205540133 is a deficient number, since it is larger than the sum of its proper divisors (1).

205540133 is an equidigital number, since it uses as much as digits as its factorization.

205540133 is an evil number, because the sum of its binary digits is even.

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

The square root of 205540133 is about 14336.6709176154. The cubic root of 205540133 is about 590.1542572811.

Adding to 205540133 its reverse (331045502), we get a palindrome (536585635).

The spelling of 205540133 in words is "two hundred five million, five hundred forty thousand, one hundred thirty-three".