524013 has 8 divisors (see below), whose sum is σ = 798528. Its totient is φ = 299424.

The previous prime is 523997. The next prime is 524047. The reversal of 524013 is 310425.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 524013 - 2⁴ = 523997 is a prime.

It is a Curzon number.

524013 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 523983 and 524001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12456 + ... + 12497.

It is an arithmetic number, because the mean of its divisors is an integer number (99816).

2⁵²⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

524013 is a deficient number, since it is larger than the sum of its proper divisors (274515).

524013 is a wasteful number, since it uses less digits than its factorization.

524013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24963.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 524013 is about 723.8874221866. The cubic root of 524013 is about 80.6208464900.

Adding to 524013 its reverse (310425), we get a palindrome (834438).

It can be divided in two parts, 5240 and 13, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 524013 in words is "five hundred twenty-four thousand, thirteen".