1082253312 has 280 divisors, whose sum is σ = 3710946096. Its totient is φ = 307888128.

The previous prime is 1082253299. The next prime is 1082253323. The reversal of 1082253312 is 2133522801.

1082253312 is a `hidden beast` number, since 108 + 22 + 533 + 1 + 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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4644748 + ... + 4644980.

Almost surely, 2^1082253312 is an apocalyptic number.

1082253312 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 1082253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855473048).

1082253312 is an abundant number, since it is smaller than the sum of its proper divisors (2628692784).

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

1082253312 is an frugal number, since it uses more digits than its factorization.

1082253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 245 counting only the distinct ones).

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

The square root of 1082253312 is about 32897.6186372205. The cubic root of 1082253312 is about 1026.6986111010.

The spelling of 1082253312 in words is "one billion, eighty-two million, two hundred fifty-three thousand, three hundred twelve".