521200020 has 192 divisors, whose sum is σ = 1698278400. Its totient is φ = 118103040.

The previous prime is 521200003. The next prime is 521200021. The reversal of 521200020 is 20002125.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 521199969 and 521200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521200021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1115827 + ... + 1116293.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2^521200020 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 521200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849139200).

521200020 is an abundant number, since it is smaller than the sum of its proper divisors (1177078380).

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

521200020 is a wasteful number, since it uses less digits than its factorization.

521200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 521200020 is about 22829.8055182255. The cubic root of 521200020 is about 804.7632599887.

Adding to 521200020 its reverse (20002125), we get a palindrome (541202145).

The spelling of 521200020 in words is "five hundred twenty-one million, two hundred thousand, twenty".