1125633000 has 128 divisors (see below), whose sum is σ = 3570128640. Its totient is φ = 295200000.

The previous prime is 1125632987. The next prime is 1125633029. The reversal of 1125633000 is 3365211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179925 + ... + 186075.

It is an arithmetic number, because the mean of its divisors is an integer number (27891630).

Almost surely, 2^1125633000 is an apocalyptic number.

1125633000 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 1125633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785064320).

1125633000 is an abundant number, since it is smaller than the sum of its proper divisors (2444495640).

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

1125633000 is a wasteful number, since it uses less digits than its factorization.

1125633000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1125633000 is about 33550.4545423754. The cubic root of 1125633000 is about 1040.2369405903.

Adding to 1125633000 its reverse (3365211), we get a palindrome (1128998211).

The spelling of 1125633000 in words is "one billion, one hundred twenty-five million, six hundred thirty-three thousand".