513900 has 54 divisors (see below), whose sum is σ = 1613612. Its totient is φ = 136800.

The previous prime is 513899. The next prime is 513917. The reversal of 513900 is 9315.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is an unprimeable 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 17 ways as a sum of consecutive naturals, for example, 615 + ... + 1185.

2⁵¹³⁹⁰⁰ is an apocalyptic number.

513900 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 513900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806806).

513900 is an abundant number, since it is smaller than the sum of its proper divisors (1099712).

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

513900 is a wasteful number, since it uses less digits than its factorization.

513900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 513900 is about 716.8681887209. The cubic root of 513900 is about 80.0988361757.

The spelling of 513900 in words is "five hundred thirteen thousand, nine hundred".