513576 has 48 divisors (see below), whose sum is σ = 1591200. Its totient is φ = 146592.

The previous prime is 513533. The next prime is 513593. The reversal of 513576 is 675315.

513576 = 4² + 5² + ... + 115².

513576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513576.

It is an unprimeable number.

513576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (33150).

2⁵¹³⁵⁷⁶ is an apocalyptic number.

513576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795600).

513576 is an abundant number, since it is smaller than the sum of its proper divisors (1077624).

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

513576 is a wasteful number, since it uses less digits than its factorization.

513576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1031 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 513576 is about 716.6421701240. The cubic root of 513576 is about 80.0819992561.

It can be divided in two parts, 513 and 576, that added together give a square (1089 = 33²).

The spelling of 513576 in words is "five hundred thirteen thousand, five hundred seventy-six".