9965510952 has 64 divisors (see below), whose sum is σ = 25478160960. Its totient is φ = 3247257600.

The previous prime is 9965510917. The next prime is 9965510953. The reversal of 9965510952 is 2590155699.

It is a super-2 number, since 2×9965510952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9965510895 and 9965510904.

It is not an unprimeable number, because it can be changed into a prime (9965510953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217752 + ... + 259512.

It is an arithmetic number, because the mean of its divisors is an integer number (398096265).

Almost surely, 2^9965510952 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 9965510952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12739080480).

9965510952 is an abundant number, since it is smaller than the sum of its proper divisors (15512650008).

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

9965510952 is a wasteful number, since it uses less digits than its factorization.

9965510952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41994 (or 41990 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 51.

The square root of 9965510952 is about 99827.4058162387. The cubic root of 9965510952 is about 2151.9550237510.

The spelling of 9965510952 in words is "nine billion, nine hundred sixty-five million, five hundred ten thousand, nine hundred fifty-two".