513116520 has 128 divisors (see below), whose sum is σ = 1773066240. Its totient is φ = 116363520.

The previous prime is 513116497. The next prime is 513116551. The reversal of 513116520 is 25611315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107709 + ... + 112371.

It is an arithmetic number, because the mean of its divisors is an integer number (13852080).

Almost surely, 2^513116520 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 513116520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886533120).

513116520 is an abundant number, since it is smaller than the sum of its proper divisors (1259949720).

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

513116520 is a wasteful number, since it uses less digits than its factorization.

513116520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 513116520 is about 22652.0754016050. The cubic root of 513116520 is about 800.5810986366.

Adding to 513116520 its reverse (25611315), we get a palindrome (538727835).

The spelling of 513116520 in words is "five hundred thirteen million, one hundred sixteen thousand, five hundred twenty".