513327 has 8 divisors (see below), whose sum is σ = 689920. Its totient is φ = 339480.

The previous prime is 513319. The next prime is 513341. The reversal of 513327 is 723315.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 513327 - 2³ = 513319 is a prime.

It is a Duffinian number.

513327 is a lucky number.

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 513327.

It is not an unprimeable number, because it can be changed into a prime (513307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 1032.

It is an arithmetic number, because the mean of its divisors is an integer number (86240).

2⁵¹³³²⁷ is an apocalyptic number.

513327 is a deficient number, since it is larger than the sum of its proper divisors (176593).

513327 is a wasteful number, since it uses less digits than its factorization.

513327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373.

The product of its digits is 630, while the sum is 21.

The square root of 513327 is about 716.4684221932. The cubic root of 513327 is about 80.0690549588.

The spelling of 513327 in words is "five hundred thirteen thousand, three hundred twenty-seven".