52338321000 has 288 divisors, whose sum is σ = 205787467080. Its totient is φ = 11962944000.

The previous prime is 52338320999. The next prime is 52338321001. The reversal of 52338321000 is 12383325.

52338321000 is a `hidden beast` number, since 5 + 2 + 338 + 321 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52338320999) and next prime (52338321001).

It can be written as a sum of positive squares in 4 ways, for example, as 6618473316 + 45719847684 = 81354^2 + 213822^2 .

It is not an unprimeable number, because it can be changed into a prime (52338321001) 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, 381660 + ... + 500340.

Almost surely, 2^52338321000 is an apocalyptic number.

52338321000 is a gapful number since it is divisible by the number (50) 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 52338321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102893733540).

52338321000 is an abundant number, since it is smaller than the sum of its proper divisors (153449146080).

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

52338321000 is a wasteful number, since it uses less digits than its factorization.

52338321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118722 (or 118698 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 52338321000 in words is "fifty-two billion, three hundred thirty-eight million, three hundred twenty-one thousand".