1033000002 has 96 divisors (see below), whose sum is σ = 2449412784. Its totient is φ = 313344000.

The previous prime is 1032999997. The next prime is 1033000027. The reversal of 1033000002 is 2000003301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 615982761 + 417017241 = 24819^2 + 20421^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1718502 + ... + 1719102.

Almost surely, 2^1033000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224706392).

1033000002 is an abundant number, since it is smaller than the sum of its proper divisors (1416412782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1033000002 is a wasteful number, since it uses less digits than its factorization.

1033000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1033000002 is about 32140.3173910900. The cubic root of 1033000002 is about 1010.8811713339.

Adding to 1033000002 its reverse (2000003301), we get a palindrome (3033003303).

The spelling of 1033000002 in words is "one billion, thirty-three million, two", and thus it is an aban number and an uban number.