513003520 has 104 divisors (see below), whose sum is σ = 1266197544. Its totient is φ = 199360512.

The previous prime is 513003511. The next prime is 513003527. The reversal of 513003520 is 25300315.

It can be written as a sum of positive squares in 4 ways, for example, as 316555264 + 196448256 = 17792^2 + 14016^2 .

It is a super-2 number, since 2×513003520² = 526345223064780800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513003527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757422 + ... + 758098.

Almost surely, 2^513003520 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 513003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633098772).

513003520 is an abundant number, since it is smaller than the sum of its proper divisors (753194024).

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

513003520 is an equidigital number, since it uses as much as digits as its factorization.

513003520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 513003520 is about 22649.5810115772. The cubic root of 513003520 is about 800.5223255625.

Adding to 513003520 its reverse (25300315), we get a palindrome (538303835).

The spelling of 513003520 in words is "five hundred thirteen million, three thousand, five hundred twenty".