2005541033 has 2 divisors, whose sum is σ = 2005541034. Its totient is φ = 2005541032.

The previous prime is 2005541003. The next prime is 2005541053. The reversal of 2005541033 is 3301455002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1814078464 + 191462569 = 42592^2 + 13837^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005541033 - 2²⁴ = 1988763817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2005541003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002770516 + 1002770517.

It is an arithmetic number, because the mean of its divisors is an integer number (1002770517).

Almost surely, 2^2005541033 is an apocalyptic number.

It is an amenable number.

2005541033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005541033 is an equidigital number, since it uses as much as digits as its factorization.

2005541033 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 2005541033 is about 44783.2673327885. The cubic root of 2005541033 is about 1261.0835210256.

Adding to 2005541033 its reverse (3301455002), we get a palindrome (5306996035).

The spelling of 2005541033 in words is "two billion, five million, five hundred forty-one thousand, thirty-three".