513303220 has 48 divisors (see below), whose sum is σ = 1110816000. Its totient is φ = 199096704.

The previous prime is 513303199. The next prime is 513303229. The reversal of 513303220 is 22303315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513303229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255781 + ... + 257779.

It is an arithmetic number, because the mean of its divisors is an integer number (23142000).

Almost surely, 2^513303220 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 513303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555408000).

513303220 is an abundant number, since it is smaller than the sum of its proper divisors (597512780).

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

513303220 is a wasteful number, since it uses less digits than its factorization.

513303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 513303220 is about 22656.1960620048. The cubic root of 513303220 is about 800.6781853350.

Adding to 513303220 its reverse (22303315), we get a palindrome (535606535).

The spelling of 513303220 in words is "five hundred thirteen million, three hundred three thousand, two hundred twenty".