1033142352 has 80 divisors (see below), whose sum is σ = 2938954752. Its totient is φ = 310130560.

The previous prime is 1033142323. The next prime is 1033142353. The reversal of 1033142352 is 2532413301.

It is a super-3 number, since 3×1033142352³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033142353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47353 + ... + 65639.

Almost surely, 2^1033142352 is an apocalyptic number.

1033142352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033142352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469477376).

1033142352 is an abundant number, since it is smaller than the sum of its proper divisors (1905812400).

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

1033142352 is a wasteful number, since it uses less digits than its factorization.

1033142352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18416 (or 18410 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1033142352 is about 32142.5318231156. The cubic root of 1033142352 is about 1010.9276031910.

Adding to 1033142352 its reverse (2532413301), we get a palindrome (3565555653).

The spelling of 1033142352 in words is "one billion, thirty-three million, one hundred forty-two thousand, three hundred fifty-two".