513525 has 24 divisors (see below), whose sum is σ = 874944. Its totient is φ = 265600.

The previous prime is 513511. The next prime is 513529. The reversal of 513525 is 525315.

513525 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 513525 - 2⁴ = 513509 is a prime.

513525 is strictly pandigital in base 7.

It is a Curzon number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2992 + ... + 3158.

It is an arithmetic number, because the mean of its divisors is an integer number (36456).

2⁵¹³⁵²⁵ is an apocalyptic number.

It is an amenable number.

513525 is a deficient number, since it is larger than the sum of its proper divisors (361419).

513525 is a wasteful number, since it uses less digits than its factorization.

513525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 216 counting only the distinct ones).

The product of its digits is 750, while the sum is 21.

The square root of 513525 is about 716.6065866290. The cubic root of 513525 is about 80.0793483553.

It can be divided in two parts, 5 and 13525, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 513525 in words is "five hundred thirteen thousand, five hundred twenty-five".