523513 has 4 divisors (see below), whose sum is σ = 537700. Its totient is φ = 509328.

The previous prime is 523511. The next prime is 523519. The reversal of 523513 is 315325.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 480249 + 43264 = 693^2 + 208^2 .

It is a cyclic number.

It is not a de Polignac number, because 523513 - 2¹ = 523511 is a prime.

It is a super-2 number, since 2×523513² = 548131722338, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (523511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7038 + ... + 7111.

It is an arithmetic number, because the mean of its divisors is an integer number (134425).

2⁵²³⁵¹³ is an apocalyptic number.

It is an amenable number.

523513 is a deficient number, since it is larger than the sum of its proper divisors (14187).

523513 is a wasteful number, since it uses less digits than its factorization.

523513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14186.

The product of its digits is 450, while the sum is 19.

The square root of 523513 is about 723.5419821959. The cubic root of 523513 is about 80.5951962032.

Adding to 523513 its reverse (315325), we get a palindrome (838838).

The spelling of 523513 in words is "five hundred twenty-three thousand, five hundred thirteen".