9993675252 has 192 divisors, whose sum is σ = 27303091200. Its totient is φ = 2813368320.

The previous prime is 9993675229. The next prime is 9993675259. The reversal of 9993675252 is 2525763999.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 9993675192 and 9993675201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993675259) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50729218 + ... + 50729414.

It is an arithmetic number, because the mean of its divisors is an integer number (142203600).

Almost surely, 2^9993675252 is an apocalyptic number.

9993675252 is the 81624-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9993675252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651545600).

9993675252 is an abundant number, since it is smaller than the sum of its proper divisors (17309415948).

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

9993675252 is a wasteful number, since it uses less digits than its factorization.

9993675252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its digits is 9185400, while the sum is 57.

The square root of 9993675252 is about 99968.3712581134. The cubic root of 9993675252 is about 2153.9803856898.

The spelling of 9993675252 in words is "nine billion, nine hundred ninety-three million, six hundred seventy-five thousand, two hundred fifty-two".