513132663 has 8 divisors (see below), whose sum is σ = 684680688. Its totient is φ = 341836544.

The previous prime is 513132637. The next prime is 513132667. The reversal of 513132663 is 366231315.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 513132663 - 2²⁰ = 512084087 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513132663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513132667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58170 + ... + 66407.

It is an arithmetic number, because the mean of its divisors is an integer number (85585086).

Almost surely, 2^513132663 is an apocalyptic number.

513132663 is a deficient number, since it is larger than the sum of its proper divisors (171548025).

513132663 is a wasteful number, since it uses less digits than its factorization.

513132663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125953.

The product of its digits is 9720, while the sum is 30.

The square root of 513132663 is about 22652.4317237686. The cubic root of 513132663 is about 800.5894941599.

Adding to 513132663 its reverse (366231315), we get a palindrome (879363978).

The spelling of 513132663 in words is "five hundred thirteen million, one hundred thirty-two thousand, six hundred sixty-three".