523 has 2 divisors, whose sum is σ = 524. Its totient is φ = 522.

The previous prime is 521. The next prime is 541. The reversal of 523 is 325.

523 is nontrivially palindromic in base 13.

It is a weak prime.

523 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 523 - 2¹ = 521 is a prime.

Together with 521, it forms a pair of twin primes.

It is an alternating number because its digits alternate between odd and even.

523 is an undulating number in base 13.

It is a plaindrome in base 7, base 12 and base 15.

It is a nialpdrome in base 9.

It is a panconsummate number.

It is not a weakly prime, because it can be changed into another prime (521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261 + 262.

It is an arithmetic number, because the mean of its divisors is an integer number (262).

523 is a deficient number, since it is larger than the sum of its proper divisors (1).

523 is an equidigital number, since it uses as much as digits as its factorization.

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

The product of its digits is 30, while the sum is 10.

The square root of 523 is about 22.8691932521. The cubic root of 523 is about 8.0568862029.

Adding to 523 its reverse (325), we get a palindrome (848).

It can be divided in two parts, 52 and 3, that added together give a palindrome (55).

The spelling of 523 in words is "five hundred twenty-three", and thus it is an aban number and an oban number.