1083253248 has 480 divisors, whose sum is σ = 4044598272. Its totient is φ = 270950400.

The previous prime is 1083253229. The next prime is 1083253261. The reversal of 1083253248 is 8423523801.

1083253248 is a `hidden beast` number, since 1 + 0 + 8 + 325 + 324 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15257053 + ... + 15257123.

Almost surely, 2^1083253248 is an apocalyptic number.

1083253248 is a gapful number since it is divisible by the number (18) 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 1083253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022299136).

1083253248 is an abundant number, since it is smaller than the sum of its proper divisors (2961345024).

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

1083253248 is a wasteful number, since it uses less digits than its factorization.

1083253248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1083253248 is about 32912.8128241875. The cubic root of 1083253248 is about 1027.0147160496.

The spelling of 1083253248 in words is "one billion, eighty-three million, two hundred fifty-three thousand, two hundred forty-eight".