9752525352 has 384 divisors, whose sum is σ = 30191616000. Its totient is φ = 2830464000.

The previous prime is 9752525351. The next prime is 9752525353. The reversal of 9752525352 is 2535252579.

9752525352 is a `hidden beast` number, since 9 + 75 + 2 + 525 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (9752525351) and next prime (9752525353).

It is a super-2 number, since 2×9752525352² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9752525298 and 9752525307.

It is not an unprimeable number, because it can be changed into a prime (9752525351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123449649 + ... + 123449727.

It is an arithmetic number, because the mean of its divisors is an integer number (78624000).

Almost surely, 2^9752525352 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 9752525352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808000).

9752525352 is an abundant number, since it is smaller than the sum of its proper divisors (20439090648).

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

9752525352 is a wasteful number, since it uses less digits than its factorization.

9752525352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The square root of 9752525352 is about 98754.8750796638. The cubic root of 9752525352 is about 2136.5137688098.

The spelling of 9752525352 in words is "nine billion, seven hundred fifty-two million, five hundred twenty-five thousand, three hundred fifty-two".