513103520 has 192 divisors, whose sum is σ = 1357969536. Its totient is φ = 182353920.

The previous prime is 513103517. The next prime is 513103553. The reversal of 513103520 is 25301315.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 513103492 and 513103501.

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, 4795307 + ... + 4795413.

It is an arithmetic number, because the mean of its divisors is an integer number (7072758).

Almost surely, 2^513103520 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 513103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678984768).

513103520 is an abundant number, since it is smaller than the sum of its proper divisors (844866016).

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

513103520 is a wasteful number, since it uses less digits than its factorization.

513103520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 513103520 is about 22651.7884503630. The cubic root of 513103520 is about 800.5743375718.

Adding to 513103520 its reverse (25301315), we get a palindrome (538404835).

The spelling of 513103520 in words is "five hundred thirteen million, one hundred three thousand, five hundred twenty".