513128 has 64 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 188160.

The previous prime is 513109. The next prime is 513131. The reversal of 513128 is 821315.

It is a nialpdrome in base 14.

It is an unprimeable number.

513128 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 15 ways as a sum of consecutive naturals, for example, 30176 + ... + 30192.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2⁵¹³¹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000).

513128 is an abundant number, since it is smaller than the sum of its proper divisors (782872).

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

513128 is a wasteful number, since it uses less digits than its factorization.

513128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 37 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 513128 is about 716.3295331061. The cubic root of 513128 is about 80.0587069082.

The spelling of 513128 in words is "five hundred thirteen thousand, one hundred twenty-eight".