1083225312 has 480 divisors, whose sum is σ = 3811256064. Its totient is φ = 298598400.

The previous prime is 1083225263. The next prime is 1083225317. The reversal of 1083225312 is 2135223801.

1083225312 is a `hidden beast` number, since 108 + 3 + 22 + 531 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083225317) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17757762 + ... + 17757822.

Almost surely, 2^1083225312 is an apocalyptic number.

1083225312 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 1083225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905628032).

1083225312 is an abundant number, since it is smaller than the sum of its proper divisors (2728030752).

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

1083225312 is a wasteful number, since it uses less digits than its factorization.

1083225312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1083225312 is about 32912.3884274600. The cubic root of 1083225312 is about 1027.0058874185.

The spelling of 1083225312 in words is "one billion, eighty-three million, two hundred twenty-five thousand, three hundred twelve".