9525952512 has 320 divisors, whose sum is σ = 29530333140. Its totient is φ = 3057647616.

The previous prime is 9525952511. The next prime is 9525952519. The reversal of 9525952512 is 2152595259.

9525952512 is a `hidden beast` number, since 9 + 5 + 2 + 595 + 2 + 51 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9142419456 + 383533056 = 95616^2 + 19584^2 .

It is a super-2 number, since 2×9525952512² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9525952511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98205648 + ... + 98205744.

Almost surely, 2^9525952512 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 9525952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14765166570).

9525952512 is an abundant number, since it is smaller than the sum of its proper divisors (20004380628).

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

9525952512 is an frugal number, since it uses more digits than its factorization.

9525952512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its digits is 405000, while the sum is 45.

The square root of 9525952512 is about 97600.9862245254. The cubic root of 9525952512 is about 2119.8386396707.

The spelling of 9525952512 in words is "nine billion, five hundred twenty-five million, nine hundred fifty-two thousand, five hundred twelve".