Adding to 513000 its reverse (315), we get a palindrome (513315).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 513000 = 103 + 803 = 453 + 753.
It is a nialpdrome in base 15.
2513000 is an apocalyptic number.
513000 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 513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
513000 is a wasteful number, since it uses less digits than its factorization.
513000 is an evil number, because the sum of its binary digits is even.
The square root of 513000 is about 716.2401831788. The cubic root of 513000 is about 80.0520494617.
The spelling of 513000 in words is "five hundred thirteen thousand".