513282 has 48 divisors (see below), whose sum is σ = 1302336. Its totient is φ = 132000.

The previous prime is 513277. The next prime is 513283. The reversal of 513282 is 282315.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513283) by changing a digit.

513282 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, 5032 + ... + 5132.

It is an arithmetic number, because the mean of its divisors is an integer number (27132).

2⁵¹³²⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651168).

513282 is an abundant number, since it is smaller than the sum of its proper divisors (789054).

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

513282 is a wasteful number, since it uses less digits than its factorization.

513282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 513282 is about 716.4370174691. The cubic root of 513282 is about 80.0667151814.

513282 divided by its sum of digits (21) gives a palindrome (24442).

Adding to 513282 its reverse (282315), we get a palindrome (795597).

It can be divided in two parts, 51 and 3282, that added together give a palindrome (3333).

The spelling of 513282 in words is "five hundred thirteen thousand, two hundred eighty-two".