513203220 has 72 divisors (see below), whose sum is σ = 1572185160. Its totient is φ = 135494400.

The previous prime is 513203177. The next prime is 513203221. The reversal of 513203220 is 22302315.

It can be written as a sum of positive squares in 4 ways, for example, as 43007364 + 470195856 = 6558^2 + 21684^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 513203193 and 513203202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513203221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4066 + ... + 32294.

It is an arithmetic number, because the mean of its divisors is an integer number (21835905).

Almost surely, 2^513203220 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 513203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786092580).

513203220 is an abundant number, since it is smaller than the sum of its proper divisors (1058981940).

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

513203220 is a wasteful number, since it uses less digits than its factorization.

513203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28345 (or 28340 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 513203220 is about 22653.9890527033. The cubic root of 513203220 is about 800.6261868180.

Adding to 513203220 its reverse (22302315), we get a palindrome (535505535).

The spelling of 513203220 in words is "five hundred thirteen million, two hundred three thousand, two hundred twenty".