1152513264 has 80 divisors (see below), whose sum is σ = 3434565888. Its totient is φ = 326201856.

The previous prime is 1152513253. The next prime is 1152513287. The reversal of 1152513264 is 4623152511.

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, 19924 + ... + 51980.

Almost surely, 2^1152513264 is an apocalyptic number.

1152513264 is a gapful number since it is divisible by the number (14) 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 1152513264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717282944).

1152513264 is an abundant number, since it is smaller than the sum of its proper divisors (2282052624).

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

1152513264 is a wasteful number, since it uses less digits than its factorization.

1152513264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32182 (or 32176 counting only the distinct ones).

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

The square root of 1152513264 is about 33948.6857477576. The cubic root of 1152513264 is about 1048.4522211661.

Adding to 1152513264 its reverse (4623152511), we get a palindrome (5775665775).

The spelling of 1152513264 in words is "one billion, one hundred fifty-two million, five hundred thirteen thousand, two hundred sixty-four".