513380 has 48 divisors (see below), whose sum is σ = 1303680. Its totient is φ = 165888.

The previous prime is 513371. The next prime is 513397. The reversal of 513380 is 83315.

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

It is a congruent number.

It is an unprimeable number.

513380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2564 + ... + 2756.

It is an arithmetic number, because the mean of its divisors is an integer number (27160).

2⁵¹³³⁸⁰ 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 513380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651840).

513380 is an abundant number, since it is smaller than the sum of its proper divisors (790300).

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

513380 is a wasteful number, since it uses less digits than its factorization.

513380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 513380 is about 716.5054082141. The cubic root of 513380 is about 80.0718105213.

Adding to 513380 its reverse (83315), we get a palindrome (596695).

The spelling of 513380 in words is "five hundred thirteen thousand, three hundred eighty".