513720520 has 64 divisors (see below), whose sum is σ = 1182496320. Its totient is φ = 200788224.

The previous prime is 513720517. The next prime is 513720521. The reversal of 513720520 is 25027315.

It is not an unprimeable number, because it can be changed into a prime (513720521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938887 + ... + 939433.

It is an arithmetic number, because the mean of its divisors is an integer number (18476505).

Almost surely, 2^513720520 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 513720520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591248160).

513720520 is an abundant number, since it is smaller than the sum of its proper divisors (668775800).

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

513720520 is a wasteful number, since it uses less digits than its factorization.

513720520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 513720520 is about 22665.4035922593. The cubic root of 513720520 is about 800.8951022830.

Adding to 513720520 its reverse (25027315), we get a palindrome (538747835).

The spelling of 513720520 in words is "five hundred thirteen million, seven hundred twenty thousand, five hundred twenty".