513220520 has 16 divisors (see below), whose sum is σ = 1154746260. Its totient is φ = 205288192.

The previous prime is 513220439. The next prime is 513220573. The reversal of 513220520 is 25022315.

It can be written as a sum of positive squares in 2 ways, for example, as 506880196 + 6340324 = 22514^2 + 2518^2 .

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 = 513220492 and 513220501.

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 3 ways as a sum of consecutive naturals, for example, 6415217 + ... + 6415296.

Almost surely, 2^513220520 is an apocalyptic number.

It is an amenable number.

513220520 is an abundant number, since it is smaller than the sum of its proper divisors (641525740).

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

513220520 is a wasteful number, since it uses less digits than its factorization.

513220520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830524 (or 12830520 counting only the distinct ones).

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

The square root of 513220520 is about 22654.3708806932. The cubic root of 513220520 is about 800.6351830447.

Adding to 513220520 its reverse (25022315), we get a palindrome (538242835).

It can be divided in two parts, 5132 and 20520, that added together give a palindrome (25652).

The spelling of 513220520 in words is "five hundred thirteen million, two hundred twenty thousand, five hundred twenty".