1153152624 has 80 divisors (see below), whose sum is σ = 3222904832. Its totient is φ = 353182464.

The previous prime is 1153152613. The next prime is 1153152631. The reversal of 1153152624 is 4262513511.

1153152624 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1153152624³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1153152591 and 1153152600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135009 + ... + 143295.

Almost surely, 2^1153152624 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 1153152624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611452416).

1153152624 is an abundant number, since it is smaller than the sum of its proper divisors (2069752208).

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

1153152624 is a wasteful number, since it uses less digits than its factorization.

1153152624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8534 (or 8528 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 1153152624 is about 33958.1010069762. The cubic root of 1153152624 is about 1048.6460626064.

The spelling of 1153152624 in words is "one billion, one hundred fifty-three million, one hundred fifty-two thousand, six hundred twenty-four".