9952813752 has 96 divisors (see below), whose sum is σ = 29269933200. Its totient is φ = 2811680256.

The previous prime is 9952813747. The next prime is 9952813771. The reversal of 9952813752 is 2573182599.

9952813752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9952813695 and 9952813704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57118 + ... + 152210.

Almost surely, 2^9952813752 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 9952813752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14634966600).

9952813752 is an abundant number, since it is smaller than the sum of its proper divisors (19317119448).

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

9952813752 is a wasteful number, since it uses less digits than its factorization.

9952813752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95205 (or 95194 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 9952813752 is about 99763.7897836685. The cubic root of 9952813752 is about 2151.0406897635.

The spelling of 9952813752 in words is "nine billion, nine hundred fifty-two million, eight hundred thirteen thousand, seven hundred fifty-two".