513876 has 48 divisors (see below), whose sum is σ = 1391040. Its totient is φ = 145920.

The previous prime is 513871. The next prime is 513881. The reversal of 513876 is 678315.

It is an interprime number because it is at equal distance from previous prime (513871) and next prime (513881).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its 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 513876.

It is not an unprimeable number, because it can be changed into a prime (513871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2130 + ... + 2358.

It is an arithmetic number, because the mean of its divisors is an integer number (28980).

2⁵¹³⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695520).

513876 is an abundant number, since it is smaller than the sum of its proper divisors (877164).

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

513876 is a wasteful number, since it uses less digits than its factorization.

513876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 513876 is about 716.8514490465. The cubic root of 513876 is about 80.0975892392.

The spelling of 513876 in words is "five hundred thirteen thousand, eight hundred seventy-six".