513500 has 48 divisors (see below), whose sum is σ = 1223040. Its totient is φ = 187200.

The previous prime is 513481. The next prime is 513509. The reversal of 513500 is 5315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513509) 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 15 ways as a sum of consecutive naturals, for example, 6461 + ... + 6539.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2⁵¹³⁵⁰⁰ is an apocalyptic number.

513500 is a gapful number since it is divisible by the number (50) 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 513500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611520).

513500 is an abundant number, since it is smaller than the sum of its proper divisors (709540).

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

513500 is a wasteful number, since it uses less digits than its factorization.

513500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 513500 is about 716.5891430939. The cubic root of 513500 is about 80.0780488300.

Adding to 513500 its reverse (5315), we get a palindrome (518815).

The spelling of 513500 in words is "five hundred thirteen thousand, five hundred".