1033130406 has 128 divisors (see below), whose sum is σ = 2687385600. Its totient is φ = 262365600.

The previous prime is 1033130401. The next prime is 1033130407. The reversal of 1033130406 is 6040313301.

1033130406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033130401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1063501 + ... + 1064471.

It is an arithmetic number, because the mean of its divisors is an integer number (20995200).

Almost surely, 2^1033130406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033130406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343692800).

1033130406 is an abundant number, since it is smaller than the sum of its proper divisors (1654255194).

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

1033130406 is a wasteful number, since it uses less digits than its factorization.

1033130406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1033130406 is about 32142.3459940310. The cubic root of 1033130406 is about 1010.9237067974.

Adding to 1033130406 its reverse (6040313301), we get a palindrome (7073443707).

The spelling of 1033130406 in words is "one billion, thirty-three million, one hundred thirty thousand, four hundred six".