513827 has 4 divisors (see below), whose sum is σ = 521136. Its totient is φ = 506520.

The previous prime is 513781. The next prime is 513829. The reversal of 513827 is 728315.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 513827 - 2¹⁰ = 512803 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 513796 and 513805.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513827.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3548 + ... + 3689.

It is an arithmetic number, because the mean of its divisors is an integer number (130284).

2⁵¹³⁸²⁷ is an apocalyptic number.

513827 is a deficient number, since it is larger than the sum of its proper divisors (7309).

513827 is an equidigital number, since it uses as much as digits as its factorization.

513827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7308.

The product of its digits is 1680, while the sum is 26.

The square root of 513827 is about 716.8172709973. The cubic root of 513827 is about 80.0950432899.

The spelling of 513827 in words is "five hundred thirteen thousand, eight hundred twenty-seven".