1153825024 has 81 divisors (see below), whose sum is σ = 2544738609. Its totient is φ = 521748480.

The previous prime is 1153825019. The next prime is 1153825031. The reversal of 1153825024 is 4205283511.

The square root of 1153825024 is 33968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 279558400 + 874266624 = 16720^2 + 29568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5978272 + ... + 5978464.

Almost surely, 2^1153825024 is an apocalyptic number.

1153825024 is the 33968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1153825024

1153825024 is an abundant number, since it is smaller than the sum of its proper divisors (1390913585).

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

1153825024 is an frugal number, since it uses more digits than its factorization.

1153825024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The cubic root of 1153825024 is about 1048.8498438443.

The spelling of 1153825024 in words is "one billion, one hundred fifty-three million, eight hundred twenty-five thousand, twenty-four".