513502220 has 72 divisors (see below), whose sum is σ = 1354672032. Its totient is φ = 160047360.

The previous prime is 513502219. The next prime is 513502273. The reversal of 513502220 is 22205315.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 513502192 and 513502201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1784 + ... + 32096.

Almost surely, 2^513502220 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 513502220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677336016).

513502220 is an abundant number, since it is smaller than the sum of its proper divisors (841169812).

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

513502220 is a wasteful number, since it uses less digits than its factorization.

513502220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30351 (or 30338 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 513502220 is about 22660.5873710281. The cubic root of 513502220 is about 800.7816422954.

Adding to 513502220 its reverse (22205315), we get a palindrome (535707535).

The spelling of 513502220 in words is "five hundred thirteen million, five hundred two thousand, two hundred twenty".