503325521160 has 512 divisors, whose sum is σ = 1906694553600. Its totient is φ = 103255326720.

The previous prime is 503325520993. The next prime is 503325521161. The reversal of 503325521160 is 61125523305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (503325521161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 268725984 + ... + 268727856.

It is an arithmetic number, because the mean of its divisors is an integer number (3724012800).

Almost surely, 2^503325521160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503325521160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953347276800).

503325521160 is an abundant number, since it is smaller than the sum of its proper divisors (1403369032440).

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

503325521160 is a wasteful number, since it uses less digits than its factorization.

503325521160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 503325521160 in words is "five hundred three billion, three hundred twenty-five million, five hundred twenty-one thousand, one hundred sixty".