205442002220033 has 2 divisors, whose sum is σ = 205442002220034. Its totient is φ = 205442002220032.

The previous prime is 205442002220003. The next prime is 205442002220057. The reversal of 205442002220033 is 330022200244502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200647706610289 + 4794295609744 = 14165017^2 + 2189588^2 .

It is a cyclic number.

It is not a de Polignac number, because 205442002220033 - 2²⁶ = 205441935111169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205442002219978 and 205442002220005.

It is not a weakly prime, because it can be changed into another prime (205442002220003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102721001110016 + 102721001110017.

It is an arithmetic number, because the mean of its divisors is an integer number (102721001110017).

Almost surely, 2^{205442002220033} is an apocalyptic number.

It is an amenable number.

205442002220033 is a deficient number, since it is larger than the sum of its proper divisors (1).

205442002220033 is an equidigital number, since it uses as much as digits as its factorization.

205442002220033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 205442002220033 its reverse (330022200244502), we get a palindrome (535464202464535).

The spelling of 205442002220033 in words is "two hundred five trillion, four hundred forty-two billion, two million, two hundred twenty thousand, thirty-three".