513030 has 48 divisors (see below), whose sum is σ = 1436400. Its totient is φ = 116928.

The previous prime is 513017. The next prime is 513031. The reversal of 513030 is 30315.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 512997 and 513015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513031) by changing a digit.

513030 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1296 + ... + 1644.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2⁵¹³⁰³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718200).

513030 is an abundant number, since it is smaller than the sum of its proper divisors (923370).

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

513030 is a wasteful number, since it uses less digits than its factorization.

513030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 513030 is about 716.2611255680. The cubic root of 513030 is about 80.0536099000.

Adding to 513030 its reverse (30315), we get a palindrome (543345).

It can be divided in two parts, 51 and 3030, that added together give a triangular number (3081 = T₇₈).

The spelling of 513030 in words is "five hundred thirteen thousand, thirty".