9952519248 has 400 divisors, whose sum is σ = 34815041536. Its totient is φ = 2684586240.

The previous prime is 9952519243. The next prime is 9952519261. The reversal of 9952519248 is 8429152599.

9952519248 is a `hidden beast` number, since 99 + 525 + 1 + 9 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9952519194 and 9952519203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952519243) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12092565 + ... + 12093387.

Almost surely, 2^9952519248 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 9952519248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17407520768).

9952519248 is an abundant number, since it is smaller than the sum of its proper divisors (24862522288).

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

9952519248 is a wasteful number, since it uses less digits than its factorization.

9952519248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 909 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 9952519248 is about 99762.3137662715. The cubic root of 9952519248 is about 2151.0194731056.

The spelling of 9952519248 in words is "nine billion, nine hundred fifty-two million, five hundred nineteen thousand, two hundred forty-eight".