1083633152 has 80 divisors (see below), whose sum is σ = 2488983552. Its totient is φ = 461690880.

The previous prime is 1083633149. The next prime is 1083633163. The reversal of 1083633152 is 2513363801.

It is a super-2 number, since 2×1083633152² = 2348521616226910208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 683753 + ... + 685335.

Almost surely, 2^1083633152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083633152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244491776).

1083633152 is an abundant number, since it is smaller than the sum of its proper divisors (1405350400).

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

1083633152 is an equidigital number, since it uses as much as digits as its factorization.

1083633152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 1083633152 is about 32918.5836876376. The cubic root of 1083633152 is about 1027.1347622767.

Adding to 1083633152 its reverse (2513363801), we get a palindrome (3596996953).

The spelling of 1083633152 in words is "one billion, eighty-three million, six hundred thirty-three thousand, one hundred fifty-two".