6532653514752 has 360 divisors, whose sum is σ = 19849939817400. Its totient is φ = 2140438265856.

The previous prime is 6532653514661. The next prime is 6532653514753. The reversal of 6532653514752 is 2574153562356.

6532653514752 is a `hidden beast` number, since 6 + 5 + 3 + 2 + 6 + 53 + 514 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6532653514753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 626387874 + ... + 626398302.

It is an arithmetic number, because the mean of its divisors is an integer number (55138721715).

Almost surely, 2^{6532653514752} 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 6532653514752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9924969908700).

6532653514752 is an abundant number, since it is smaller than the sum of its proper divisors (13317286302648).

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

6532653514752 is an frugal number, since it uses more digits than its factorization.

6532653514752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534 (or 10493 counting only the distinct ones).

The product of its digits is 22680000, while the sum is 54.

The spelling of 6532653514752 in words is "six trillion, five hundred thirty-two billion, six hundred fifty-three million, five hundred fourteen thousand, seven hundred fifty-two".