52005345005200 has 120 divisors (see below), whose sum is σ = 129258781908480. Its totient is φ = 20083647091200.

The previous prime is 52005345005183. The next prime is 52005345005203. The reversal of 52005345005200 is 250054350025.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (52005345005203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212935155 + ... + 213179245.

It is an arithmetic number, because the mean of its divisors is an integer number (1077156515904).

Almost surely, 2^{52005345005200} is an apocalyptic number.

52005345005200 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 52005345005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64629390954240).

52005345005200 is an abundant number, since it is smaller than the sum of its proper divisors (77253436903280).

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

52005345005200 is a wasteful number, since it uses less digits than its factorization.

52005345005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262505 (or 262494 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 31.

Adding to 52005345005200 its reverse (250054350025), we get a palindrome (52255399355225).

The spelling of 52005345005200 in words is "fifty-two trillion, five billion, three hundred forty-five million, five thousand, two hundred".