513512320 has 64 divisors (see below), whose sum is σ = 1231038000. Its totient is φ = 204832768.

The previous prime is 513512317. The next prime is 513512339. The reversal of 513512320 is 23215315.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 513512291 and 513512300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286467 + ... + 288253.

Almost surely, 2^513512320 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 513512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615519000).

513512320 is an abundant number, since it is smaller than the sum of its proper divisors (717525680).

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

513512320 is a wasteful number, since it uses less digits than its factorization.

513512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 513512320 is about 22660.8102238203. The cubic root of 513512320 is about 800.7868924133.

Adding to 513512320 its reverse (23215315), we get a palindrome (536727635).

The spelling of 513512320 in words is "five hundred thirteen million, five hundred twelve thousand, three hundred twenty".