513150 has 48 divisors (see below), whose sum is σ = 1392768. Its totient is φ = 124000.

The previous prime is 513137. The next prime is 513157. The reversal of 513150 is 51315.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513157) 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 23 ways as a sum of consecutive naturals, for example, 1495 + ... + 1805.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2⁵¹³¹⁵⁰ is an apocalyptic number.

513150 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 513150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384).

513150 is an abundant number, since it is smaller than the sum of its proper divisors (879618).

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

513150 is a wasteful number, since it uses less digits than its factorization.

513150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 513150 is about 716.3448890025. The cubic root of 513150 is about 80.0598510453.

Adding to 513150 its reverse (51315), we get a palindrome (564465).

The spelling of 513150 in words is "five hundred thirteen thousand, one hundred fifty".