1125625248 has 360 divisors, whose sum is σ = 3775610916. Its totient is φ = 328458240.

The previous prime is 1125625219. The next prime is 1125625261. The reversal of 1125625248 is 8425265211.

1125625248 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 625 + 24 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1080305424 + 45319824 = 32868^2 + 6732^2 .

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

Its product of digits (38400) is a multiple of the sum of its prime divisors (150).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11604336 + ... + 11604432.

Almost surely, 2^1125625248 is an apocalyptic number.

1125625248 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 1125625248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887805458).

1125625248 is an abundant number, since it is smaller than the sum of its proper divisors (2649985668).

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

1125625248 is a wasteful number, since it uses less digits than its factorization.

1125625248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 1125625248 is about 33550.3390146806. The cubic root of 1125625248 is about 1040.2345526197.

The spelling of 1125625248 in words is "one billion, one hundred twenty-five million, six hundred twenty-five thousand, two hundred forty-eight".