1125983952 has 120 divisors (see below), whose sum is σ = 3319430400. Its totient is φ = 355601664.

The previous prime is 1125983941. The next prime is 1125983981. The reversal of 1125983952 is 2593895211.

1125983952 is a `hidden beast` number, since 1 + 1 + 2 + 598 + 3 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1125983898 and 1125983907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359449 + ... + 362567.

It is an arithmetic number, because the mean of its divisors is an integer number (27661920).

Almost surely, 2^1125983952 is an apocalyptic number.

1125983952 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 1125983952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659715200).

1125983952 is an abundant number, since it is smaller than the sum of its proper divisors (2193446448).

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

1125983952 is a wasteful number, since it uses less digits than its factorization.

1125983952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265 (or 3256 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 1125983952 is about 33555.6843470670. The cubic root of 1125983952 is about 1040.3450383747.

The spelling of 1125983952 in words is "one billion, one hundred twenty-five million, nine hundred eighty-three thousand, nine hundred fifty-two".