1130553504 has 192 divisors, whose sum is σ = 3531024000. Its totient is φ = 350853120.

The previous prime is 1130553467. The next prime is 1130553509. The reversal of 1130553504 is 4053550311.

1130553504 is a `hidden beast` number, since 1 + 1 + 305 + 5 + 350 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1130553509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000812 + ... + 1001940.

It is an arithmetic number, because the mean of its divisors is an integer number (18390750).

Almost surely, 2^1130553504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130553504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765512000).

1130553504 is an abundant number, since it is smaller than the sum of its proper divisors (2400470496).

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

1130553504 is a wasteful number, since it uses less digits than its factorization.

1130553504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1130553504 is about 33623.7044954895. The cubic root of 1130553504 is about 1041.7504741303.

The spelling of 1130553504 in words is "one billion, one hundred thirty million, five hundred fifty-three thousand, five hundred four".