6533248512 has 320 divisors, whose sum is σ = 21759750144. Its totient is φ = 1698693120.

The previous prime is 6533248511. The next prime is 6533248517. The reversal of 6533248512 is 2158423356.

It is a happy number.

It is a super-2 number, since 2×6533248512² = 85366672239100428288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6533248511) 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 31 ways as a sum of consecutive naturals, for example, 5665728 + ... + 5666880.

Almost surely, 2^6533248512 is an apocalyptic number.

6533248512 is a gapful number since it is divisible by the number (62) 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 6533248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10879875072).

6533248512 is an abundant number, since it is smaller than the sum of its proper divisors (15226501632).

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

6533248512 is a wasteful number, since it uses less digits than its factorization.

6533248512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1213 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 6533248512 is about 80828.5129889199. The cubic root of 6533248512 is about 1869.4322308076.

The spelling of 6533248512 in words is "six billion, five hundred thirty-three million, two hundred forty-eight thousand, five hundred twelve".