1153525968 has 160 divisors (see below), whose sum is σ = 3798368000. Its totient is φ = 328333824.

The previous prime is 1153525957. The next prime is 1153525981. The reversal of 1153525968 is 8695253511.

1153525968 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 52 + 596 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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, 1054830 + ... + 1055922.

It is an arithmetic number, because the mean of its divisors is an integer number (23739800).

Almost surely, 2^1153525968 is an apocalyptic number.

1153525968 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 1153525968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899184000).

1153525968 is an abundant number, since it is smaller than the sum of its proper divisors (2644842032).

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

1153525968 is a wasteful number, since it uses less digits than its factorization.

1153525968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1454 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 1153525968 is about 33963.5976892908. The cubic root of 1153525968 is about 1048.7592200682.

The spelling of 1153525968 in words is "one billion, one hundred fifty-three million, five hundred twenty-five thousand, nine hundred sixty-eight".