523013 has 4 divisors (see below), whose sum is σ = 550560. Its totient is φ = 495468.

The previous prime is 523007. The next prime is 523021. The reversal of 523013 is 310325.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 523013 - 2⁸ = 522757 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 523013.

It is not an unprimeable number, because it can be changed into a prime (523093) 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, 13745 + ... + 13782.

It is an arithmetic number, because the mean of its divisors is an integer number (137640).

2⁵²³⁰¹³ is an apocalyptic number.

It is an amenable number.

523013 is a deficient number, since it is larger than the sum of its proper divisors (27547).

523013 is a wasteful number, since it uses less digits than its factorization.

523013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27546.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 523013 is about 723.1963772033. The cubic root of 523013 is about 80.5695295791.

Adding to 523013 its reverse (310325), we get a palindrome (833338).

The spelling of 523013 in words is "five hundred twenty-three thousand, thirteen".