513663 has 8 divisors (see below), whose sum is σ = 699648. Its totient is φ = 335064.

The previous prime is 513649. The next prime is 513673. The reversal of 513663 is 366315.

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

It is not a de Polignac number, because 513663 - 2⁵ = 513631 is a prime.

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 513663.

It is not an unprimeable number, because it can be changed into a prime (513673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1681 + ... + 1962.

It is an arithmetic number, because the mean of its divisors is an integer number (87456).

2⁵¹³⁶⁶³ is an apocalyptic number.

513663 is a deficient number, since it is larger than the sum of its proper divisors (185985).

513663 is a wasteful number, since it uses less digits than its factorization.

513663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693.

The product of its digits is 1620, while the sum is 24.

The square root of 513663 is about 716.7028673028. The cubic root of 513663 is about 80.0865209761.

Adding to 513663 its reverse (366315), we get a palindrome (879978).

It can be divided in two parts, 513 and 663, that added together give a triangular number (1176 = T₄₈).

The spelling of 513663 in words is "five hundred thirteen thousand, six hundred sixty-three".