513884 has 12 divisors (see below), whose sum is σ = 1027824. Its totient is φ = 220224.

The previous prime is 513881. The next prime is 513899. The reversal of 513884 is 488315.

513884 is an admirable number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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 513884.

It is not an unprimeable number, because it can be changed into a prime (513881) 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 3 ways as a sum of consecutive naturals, for example, 9149 + ... + 9204.

It is an arithmetic number, because the mean of its divisors is an integer number (85652).

2⁵¹³⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

513884 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

513884 is a wasteful number, since it uses less digits than its factorization.

513884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18364 (or 18362 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 513884 is about 716.8570289814. The cubic root of 513884 is about 80.0980048890.

The spelling of 513884 in words is "five hundred thirteen thousand, eight hundred eighty-four".