1004033133 has 24 divisors (see below), whose sum is σ = 1496561976. Its totient is φ = 648230400.

The previous prime is 1004033111. The next prime is 1004033143. The reversal of 1004033133 is 3313304001.

It can be written as a sum of positive squares in 4 ways, for example, as 33212169 + 970820964 = 5763^2 + 31158^2 .

It is not a de Polignac number, because 1004033133 - 2⁹ = 1004032621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004033143) 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 in 23 ways as a sum of consecutive naturals, for example, 40623 + ... + 60483.

It is an arithmetic number, because the mean of its divisors is an integer number (62356749).

Almost surely, 2^1004033133 is an apocalyptic number.

It is an amenable number.

1004033133 is a deficient number, since it is larger than the sum of its proper divisors (492528843).

1004033133 is a wasteful number, since it uses less digits than its factorization.

1004033133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20045 (or 20042 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1004033133 is about 31686.4818653002. The cubic root of 1004033133 is about 1001.3425743541.

Adding to 1004033133 its reverse (3313304001), we get a palindrome (4317337134).

The spelling of 1004033133 in words is "one billion, four million, thirty-three thousand, one hundred thirty-three".