1002034033 has 32 divisors (see below), whose sum is σ = 1356671232. Its totient is φ = 720656640.

The previous prime is 1002034021. The next prime is 1002034063. The reversal of 1002034033 is 3304302001.

It is not a de Polignac number, because 1002034033 - 2²⁵ = 968479601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002033998 and 1002034016.

It is not an unprimeable number, because it can be changed into a prime (1002034063) 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 in 31 ways as a sum of consecutive naturals, for example, 116985 + ... + 125257.

It is an arithmetic number, because the mean of its divisors is an integer number (42395976).

Almost surely, 2^1002034033 is an apocalyptic number.

1002034033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002034033 is a deficient number, since it is larger than the sum of its proper divisors (354637199).

1002034033 is an equidigital number, since it uses as much as digits as its factorization.

1002034033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1002034033 is about 31654.9211497991. The cubic root of 1002034033 is about 1000.6775518198.

Adding to 1002034033 its reverse (3304302001), we get a palindrome (4306336034).

The spelling of 1002034033 in words is "one billion, two million, thirty-four thousand, thirty-three".