1125033800 has 72 divisors (see below), whose sum is σ = 2875174050. Its totient is φ = 409094400.

The previous prime is 1125033779. The next prime is 1125033817. The reversal of 1125033800 is 83305211.

It can be written as a sum of positive squares in 3 ways, for example, as 784336036 + 340697764 = 28006^2 + 18458^2 .

It is a super-2 number, since 2×1125033800² = 2531402102284880000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 956 + ... + 47444.

Almost surely, 2^1125033800 is an apocalyptic number.

1125033800 is a gapful number since it is divisible by the number (10) 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 1125033800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437587025).

1125033800 is an abundant number, since it is smaller than the sum of its proper divisors (1750140250).

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

1125033800 is a wasteful number, since it uses less digits than its factorization.

1125033800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46527 (or 46507 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1125033800 is about 33541.5235193633. The cubic root of 1125033800 is about 1040.0523272488.

It can be divided in two parts, 11250 and 33800, that multiplied together give a square (380250000 = 19500²).

The spelling of 1125033800 in words is "one billion, one hundred twenty-five million, thirty-three thousand, eight hundred".