52513513140000 has 480 divisors, whose sum is σ = 188519318507520. Its totient is φ = 12689564800000.

The previous prime is 52513513139959. The next prime is 52513513140013. The reversal of 52513513140000 is 4131531525.

52513513140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 52513513140000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 205132081 + ... + 205387919.

It is an arithmetic number, because the mean of its divisors is an integer number (392748580224).

Almost surely, 2^{52513513140000} is an apocalyptic number.

52513513140000 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 52513513140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94259659253760).

52513513140000 is an abundant number, since it is smaller than the sum of its proper divisors (136005805367520).

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

52513513140000 is a wasteful number, since it uses less digits than its factorization.

52513513140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256194 (or 256171 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 52513513140000 its reverse (4131531525), we get a palindrome (52517644671525).

The spelling of 52513513140000 in words is "fifty-two trillion, five hundred thirteen billion, five hundred thirteen million, one hundred forty thousand".