1153251072 has 108 divisors (see below), whose sum is σ = 3337708920. Its totient is φ = 382961664.

The previous prime is 1153251061. The next prime is 1153251089. The reversal of 1153251072 is 2701523511.

1153251072 is a `hidden beast` number, since 11 + 532 + 51 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 729579 + ... + 731157.

Almost surely, 2^1153251072 is an apocalyptic number.

1153251072 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 1153251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668854460).

1153251072 is an abundant number, since it is smaller than the sum of its proper divisors (2184457848).

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

1153251072 is a wasteful number, since it uses less digits than its factorization.

1153251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1153251072 is about 33959.5505270609. The cubic root of 1153251072 is about 1048.6759037473.

Adding to 1153251072 its reverse (2701523511), we get a palindrome (3854774583).

The spelling of 1153251072 in words is "one billion, one hundred fifty-three million, two hundred fifty-one thousand, seventy-two".