501252304000 has 128 divisors (see below), whose sum is σ = 1424272936320. Its totient is φ = 171857894400.

The previous prime is 501252303977. The next prime is 501252304037. The reversal of 501252304000 is 403252105.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2125734 + ... + 2349733.

It is an arithmetic number, because the mean of its divisors is an integer number (11127132315).

Almost surely, 2^501252304000 is an apocalyptic number.

501252304000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

501252304000 is an abundant number, since it is smaller than the sum of its proper divisors (923020632320).

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

501252304000 is an equidigital number, since it uses as much as digits as its factorization.

501252304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475503 (or 4475481 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 501252304000 its reverse (403252105), we get a palindrome (501655556105).

The spelling of 501252304000 in words is "five hundred one billion, two hundred fifty-two million, three hundred four thousand".