513852 has 12 divisors (see below), whose sum is σ = 1199016. Its totient is φ = 171280.

The previous prime is 513841. The next prime is 513871. The reversal of 513852 is 258315.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

513852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 21399 + ... + 21422.

It is an arithmetic number, because the mean of its divisors is an integer number (99918).

2⁵¹³⁸⁵² is an apocalyptic number.

It is an amenable number.

513852 is an abundant number, since it is smaller than the sum of its proper divisors (685164).

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

513852 is a wasteful number, since it uses less digits than its factorization.

513852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42828 (or 42826 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 513852 is about 716.8347089811. The cubic root of 513852 is about 80.0963422639.

The spelling of 513852 in words is "five hundred thirteen thousand, eight hundred fifty-two".