513536 has 40 divisors (see below), whose sum is σ = 1104840. Its totient is φ = 237568.

The previous prime is 513533. The next prime is 513593. The reversal of 513536 is 635315.

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 513536.

It is not an unprimeable number, because it can be changed into a prime (513533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8675 + ... + 8733.

It is an arithmetic number, because the mean of its divisors is an integer number (27621).

2⁵¹³⁵³⁶ 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 513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552420).

513536 is an abundant number, since it is smaller than the sum of its proper divisors (591304).

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

513536 is an equidigital number, since it uses as much as digits as its factorization.

513536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its digits is 1350, while the sum is 23.

The square root of 513536 is about 716.6142616499. The cubic root of 513536 is about 80.0799201331.

The spelling of 513536 in words is "five hundred thirteen thousand, five hundred thirty-six".