2012000033 has 2 divisors, whose sum is σ = 2012000034. Its totient is φ = 2012000032.

The previous prime is 2012000009. The next prime is 2012000051. The reversal of 2012000033 is 3300002102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1006919824 + 1005080209 = 31732^2 + 31703^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012000033 - 2²² = 2007805729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011999978 and 2012000023.

It is not a weakly prime, because it can be changed into another prime (2012000083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006000016 + 1006000017.

It is an arithmetic number, because the mean of its divisors is an integer number (1006000017).

Almost surely, 2^2012000033 is an apocalyptic number.

It is an amenable number.

2012000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012000033 is an equidigital number, since it uses as much as digits as its factorization.

2012000033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2012000033 is about 44855.3233518609. The cubic root of 2012000033 is about 1262.4358759445.

Adding to 2012000033 its reverse (3300002102), we get a palindrome (5312002135).

The spelling of 2012000033 in words is "two billion, twelve million, thirty-three", and thus it is an aban number and an uban number.