501521020 has 288 divisors, whose sum is σ = 1487517696. Its totient is φ = 137779200.

The previous prime is 501521011. The next prime is 501521039. The reversal of 501521020 is 20125105.

It is a junction number, because it is equal to n+sod(n) for n = 501520985 and 501521003.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10670637 + ... + 10670683.

It is an arithmetic number, because the mean of its divisors is an integer number (5164992).

Almost surely, 2^501521020 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 501521020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743758848).

501521020 is an abundant number, since it is smaller than the sum of its proper divisors (985996676).

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

501521020 is a wasteful number, since it uses less digits than its factorization.

501521020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 501521020 is about 22394.6649896800. The cubic root of 501521020 is about 794.5045341754.

Adding to 501521020 its reverse (20125105), we get a palindrome (521646125).

The spelling of 501521020 in words is "five hundred one million, five hundred twenty-one thousand, twenty".