52682752512 has 800 divisors, whose sum is σ = 184387156800. Its totient is φ = 14834368512.

The previous prime is 52682752477. The next prime is 52682752517. The reversal of 52682752512 is 21525728625.

52682752512 is a `hidden beast` number, since 5 + 2 + 6 + 82 + 7 + 52 + 512 = 666.

It is a super-4 number, since 4×52682752512⁴ (a number of 44 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (52682752517) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 379012539 + ... + 379012677.

It is an arithmetic number, because the mean of its divisors is an integer number (230483946).

Almost surely, 2^52682752512 is an apocalyptic number.

52682752512 is a gapful number since it is divisible by the number (52) 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 52682752512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92193578400).

52682752512 is an abundant number, since it is smaller than the sum of its proper divisors (131704404288).

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

52682752512 is a wasteful number, since it uses less digits than its factorization.

52682752512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 52682752512 in words is "fifty-two billion, six hundred eighty-two million, seven hundred fifty-two thousand, five hundred twelve".