652565334646500 has 192 divisors, whose sum is σ = 2073216198703104. Its totient is φ = 158182844400000.

The previous prime is 652565334646469. The next prime is 652565334646513. The reversal of 652565334646500 is 5646433565256.

652565334646500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174885295 + ... + 178577705.

It is an arithmetic number, because the mean of its divisors is an integer number (10798001034912).

Almost surely, 2^{652565334646500} is an apocalyptic number.

652565334646500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652565334646500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036608099351552).

652565334646500 is an abundant number, since it is smaller than the sum of its proper divisors (1420650864056604).

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

652565334646500 is a wasteful number, since it uses less digits than its factorization.

652565334646500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703155 (or 3703143 counting only the distinct ones).

The product of its (nonzero) digits is 233280000, while the sum is 60.

The spelling of 652565334646500 in words is "six hundred fifty-two trillion, five hundred sixty-five billion, three hundred thirty-four million, six hundred forty-six thousand, five hundred".