1033325216 has 96 divisors (see below), whose sum is σ = 2623985280. Its totient is φ = 388684800.

The previous prime is 1033325197. The next prime is 1033325219. The reversal of 1033325216 is 6125233301.

1033325216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1033325216² = 2135522004042893312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1033325219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64226 + ... + 78686.

It is an arithmetic number, because the mean of its divisors is an integer number (27333180).

Almost surely, 2^1033325216 is an apocalyptic number.

1033325216 is a gapful number since it is divisible by the number (16) 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 1033325216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311992640).

1033325216 is an abundant number, since it is smaller than the sum of its proper divisors (1590660064).

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

1033325216 is a wasteful number, since it uses less digits than its factorization.

1033325216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14518 (or 14510 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 1033325216 is about 32145.3762771569. The cubic root of 1033325216 is about 1010.9872436846.

Adding to 1033325216 its reverse (6125233301), we get a palindrome (7158558517).

The spelling of 1033325216 in words is "one billion, thirty-three million, three hundred twenty-five thousand, two hundred sixteen".