1153125504 has 256 divisors, whose sum is σ = 3796848000. Its totient is φ = 342392832.

The previous prime is 1153125469. The next prime is 1153125529. The reversal of 1153125504 is 4055213511.

1153125504 is a `hidden beast` number, since 1 + 153 + 1 + 2 + 5 + 504 = 666.

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

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, 1115772 + ... + 1116804.

Almost surely, 2^1153125504 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 1153125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898424000).

1153125504 is an abundant number, since it is smaller than the sum of its proper divisors (2643722496).

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

1153125504 is a wasteful number, since it uses less digits than its factorization.

1153125504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1153125504 is about 33957.7016890131. The cubic root of 1153125504 is about 1048.6378418084.

The spelling of 1153125504 in words is "one billion, one hundred fifty-three million, one hundred twenty-five thousand, five hundred four".