513013320 has 96 divisors (see below), whose sum is σ = 1708008120. Its totient is φ = 133463040.

The previous prime is 513013313. The next prime is 513013331. The reversal of 513013320 is 23310315.

513013320 is a `hidden beast` number, since 513 + 0 + 133 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 207532836 + 305480484 = 14406^2 + 17478^2 .

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 = 513013293 and 513013302.

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, 2619 + ... + 32138.

Almost surely, 2^513013320 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 513013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854004060).

513013320 is an abundant number, since it is smaller than the sum of its proper divisors (1194994800).

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

513013320 is a wasteful number, since it uses less digits than its factorization.

513013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34815 (or 34808 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 513013320 is about 22649.7973500868. The cubic root of 513013320 is about 800.5274230381.

Adding to 513013320 its reverse (23310315), we get a palindrome (536323635).

The spelling of 513013320 in words is "five hundred thirteen million, thirteen thousand, three hundred twenty".