52813853352 has 288 divisors, whose sum is σ = 164950344000. Its totient is φ = 15205791744.

The previous prime is 52813853333. The next prime is 52813853357. The reversal of 52813853352 is 25335831825.

It is a happy number.

52813853352 is a `hidden beast` number, since 5 + 2 + 81 + 38 + 533 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52813853298 and 52813853307.

It is not an unprimeable number, because it can be changed into a prime (52813853357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41163703 + ... + 41164985.

It is an arithmetic number, because the mean of its divisors is an integer number (572744250).

Almost surely, 2^52813853352 is an apocalyptic number.

52813853352 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 52813853352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82475172000).

52813853352 is an abundant number, since it is smaller than the sum of its proper divisors (112136490648).

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

52813853352 is a wasteful number, since it uses less digits than its factorization.

52813853352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1517 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 52813853352 in words is "fifty-two billion, eight hundred thirteen million, eight hundred fifty-three thousand, three hundred fifty-two".