513450 has 72 divisors (see below), whose sum is σ = 1586208. Its totient is φ = 116640.

The previous prime is 513439. The next prime is 513473. The reversal of 513450 is 54315.

513450 = 8² + 9² + ... + 115².

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

513450 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 35 ways as a sum of consecutive naturals, for example, 3069 + ... + 3231.

2⁵¹³⁴⁵⁰ is an apocalyptic number.

513450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793104).

513450 is an abundant number, since it is smaller than the sum of its proper divisors (1072758).

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

513450 is a wasteful number, since it uses less digits than its factorization.

513450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 513450 is about 716.5542547498. The cubic root of 513450 is about 80.0754496528.

Adding to 513450 its reverse (54315), we get a palindrome (567765).

It can be divided in two parts, 5134 and 50, that added together give a square (5184 = 72²).

The spelling of 513450 in words is "five hundred thirteen thousand, four hundred fifty".