513863 has 6 divisors (see below), whose sum is σ = 597816. Its totient is φ = 440412.

The previous prime is 513841. The next prime is 513871. The reversal of 513863 is 368315.

It is not a de Polignac number, because 513863 - 2¹² = 509767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518863) 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 5 ways as a sum of consecutive naturals, for example, 5195 + ... + 5292.

It is an arithmetic number, because the mean of its divisors is an integer number (99636).

2⁵¹³⁸⁶³ is an apocalyptic number.

513863 is a deficient number, since it is larger than the sum of its proper divisors (83953).

513863 is a wasteful number, since it uses less digits than its factorization.

513863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10501 (or 10494 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 513863 is about 716.8423815596. The cubic root of 513863 is about 80.0969137990.

The spelling of 513863 in words is "five hundred thirteen thousand, eight hundred sixty-three".