1125513792 has 336 divisors, whose sum is σ = 3805488960. Its totient is φ = 326965248.

The previous prime is 1125513791. The next prime is 1125513799. The reversal of 1125513792 is 2973155211.

1125513792 is a `hidden beast` number, since 1 + 12 + 551 + 3 + 7 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1125513791) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3841198 + ... + 3841490.

It is an arithmetic number, because the mean of its divisors is an integer number (11325860).

Almost surely, 2^1125513792 is an apocalyptic number.

1125513792 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 1125513792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902744480).

1125513792 is an abundant number, since it is smaller than the sum of its proper divisors (2679975168).

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

1125513792 is a wasteful number, since it uses less digits than its factorization.

1125513792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 330 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 1125513792 is about 33548.6779471263. The cubic root of 1125513792 is about 1040.2002178624.

The spelling of 1125513792 in words is "one billion, one hundred twenty-five million, five hundred thirteen thousand, seven hundred ninety-two".