521523 has 6 divisors (see below), whose sum is σ = 753324. Its totient is φ = 347676.

The previous prime is 521519. The next prime is 521527. The reversal of 521523 is 325125.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (521519) and next prime (521527).

It is not a de Polignac number, because 521523 - 2² = 521519 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 521496 and 521505.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 521523.

It is not an unprimeable number, because it can be changed into a prime (521527) 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 5 ways as a sum of consecutive naturals, for example, 28965 + ... + 28982.

It is an arithmetic number, because the mean of its divisors is an integer number (125554).

2⁵²¹⁵²³ is an apocalyptic number.

521523 is a deficient number, since it is larger than the sum of its proper divisors (231801).

521523 is a wasteful number, since it uses less digits than its factorization.

521523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57953 (or 57950 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 521523 is about 722.1654934985. The cubic root of 521523 is about 80.4929458989.

Adding to 521523 its reverse (325125), we get a palindrome (846648).

It can be divided in two parts, 5 and 21523, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 521523 in words is "five hundred twenty-one thousand, five hundred twenty-three".