1033316352 has 120 divisors (see below), whose sum is σ = 3086933850. Its totient is φ = 344383488.

The previous prime is 1033316327. The next prime is 1033316407. The reversal of 1033316352 is 2536133301.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 879952896 + 153363456 = 29664^2 + 12384^2 .

It is a super-4 number, since 4×1033316352⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 162774 + ... + 169002.

Almost surely, 2^1033316352 is an apocalyptic number.

1033316352 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 1033316352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543466925).

1033316352 is an abundant number, since it is smaller than the sum of its proper divisors (2053617498).

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

1033316352 is an frugal number, since it uses more digits than its factorization.

1033316352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6263 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 1033316352 is about 32145.2384032223. The cubic root of 1033316352 is about 1010.9843528824.

Adding to 1033316352 its reverse (2536133301), we get a palindrome (3569449653).

The spelling of 1033316352 in words is "one billion, thirty-three million, three hundred sixteen thousand, three hundred fifty-two".