513828 has 36 divisors (see below), whose sum is σ = 1485120. Its totient is φ = 146736.

The previous prime is 513781. The next prime is 513829. The reversal of 513828 is 828315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513828.

It is not an unprimeable number, because it can be changed into a prime (513829) by changing a digit.

513828 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 11 ways as a sum of consecutive naturals, for example, 768 + ... + 1271.

2⁵¹³⁸²⁸ is an apocalyptic number.

It is an amenable number.

513828 is an abundant number, since it is smaller than the sum of its proper divisors (971292).

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

513828 is a wasteful number, since it uses less digits than its factorization.

513828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2051 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 513828 is about 716.8179685248. The cubic root of 513828 is about 80.0950952497.

The spelling of 513828 in words is "five hundred thirteen thousand, eight hundred twenty-eight".