513528 has 16 divisors (see below), whose sum is σ = 1283880. Its totient is φ = 171168.

The previous prime is 513511. The next prime is 513529. The reversal of 513528 is 825315.

It is a super-2 number, since 2×513528² = 527422013568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 21397 = 513528 / (5 + 1 + 3 + 5 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 513498 and 513507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513529) 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 3 ways as a sum of consecutive naturals, for example, 10675 + ... + 10722.

2⁵¹³⁵²⁸ is an apocalyptic number.

It is an amenable number.

513528 is an abundant number, since it is smaller than the sum of its proper divisors (770352).

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

513528 is a wasteful number, since it uses less digits than its factorization.

513528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21406 (or 21402 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 513528 is about 716.6086798246. The cubic root of 513528 is about 80.0795042955.

It can be divided in two parts, 51352 and 8, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 513528 in words is "five hundred thirteen thousand, five hundred twenty-eight".