2005027033 has 2 divisors, whose sum is σ = 2005027034. Its totient is φ = 2005027032.

The previous prime is 2005027009. The next prime is 2005027069. The reversal of 2005027033 is 3307205002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1739890944 + 265136089 = 41712^2 + 16283^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005027033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005026995 and 2005027013.

It is not a weakly prime, because it can be changed into another prime (2005037033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002513516 + 1002513517.

It is an arithmetic number, because the mean of its divisors is an integer number (1002513517).

Almost surely, 2^2005027033 is an apocalyptic number.

It is an amenable number.

2005027033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005027033 is an equidigital number, since it uses as much as digits as its factorization.

2005027033 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 22.

The square root of 2005027033 is about 44777.5282144962. The cubic root of 2005027033 is about 1260.9757774787.

The spelling of 2005027033 in words is "two billion, five million, twenty-seven thousand, thirty-three".