513318 has 16 divisors (see below), whose sum is σ = 1105776. Its totient is φ = 157920.

The previous prime is 513313. The next prime is 513319. The reversal of 513318 is 813315.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 513294 and 513303.

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 513318.

It is not an unprimeable number, because it can be changed into a prime (513311) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3213 + ... + 3368.

It is an arithmetic number, because the mean of its divisors is an integer number (69111).

2⁵¹³³¹⁸ is an apocalyptic number.

513318 is an abundant number, since it is smaller than the sum of its proper divisors (592458).

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

513318 is a wasteful number, since it uses less digits than its factorization.

513318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599.

The product of its digits is 360, while the sum is 21.

The square root of 513318 is about 716.4621413585. The cubic root of 513318 is about 80.0685870143.

It can be divided in two parts, 5133 and 18, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 513318 in words is "five hundred thirteen thousand, three hundred eighteen".