2005172033 has 2 divisors, whose sum is σ = 2005172034. Its totient is φ = 2005172032.

The previous prime is 2005172023. The next prime is 2005172041. The reversal of 2005172033 is 3302715002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1979538064 + 25633969 = 44492^2 + 5063^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005172033 - 2¹⁸ = 2004909889 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005172023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002586016 + 1002586017.

It is an arithmetic number, because the mean of its divisors is an integer number (1002586017).

Almost surely, 2^2005172033 is an apocalyptic number.

It is an amenable number.

2005172033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005172033 is an equidigital number, since it uses as much as digits as its factorization.

2005172033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 2005172033 is about 44779.1473009480. The cubic root of 2005172033 is about 1261.0061739234.

Adding to 2005172033 its reverse (3302715002), we get a palindrome (5307887035).

The spelling of 2005172033 in words is "two billion, five million, one hundred seventy-two thousand, thirty-three".