652716508752 has 360 divisors, whose sum is σ = 2323778213120. Its totient is φ = 167388249600.

The previous prime is 652716508747. The next prime is 652716508753. The reversal of 652716508752 is 257805617256.

652716508752 is a `hidden beast` number, since 6 + 52 + 7 + 16 + 508 + 75 + 2 = 666.

652716508752 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×652716508752³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652716508753) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9601602 + ... + 9669342.

Almost surely, 2^652716508752 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 652716508752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161889106560).

652716508752 is an abundant number, since it is smaller than the sum of its proper divisors (1671061704368).

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

652716508752 is a wasteful number, since it uses less digits than its factorization.

652716508752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67863 (or 67843 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 652716508752 in words is "six hundred fifty-two billion, seven hundred sixteen million, five hundred eight thousand, seven hundred fifty-two".