5208523 has 2 divisors, whose sum is σ = 5208524. Its totient is φ = 5208522.

The previous prime is 5208521. The next prime is 5208529. The reversal of 5208523 is 3258025.

5208523 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 5208523 - 2¹ = 5208521 is a prime.

Together with 5208521, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 5⁴ + 2¹⁰ + 0 + 8³ + 5⁸ + 2¹⁵ + 3¹⁴ .

It is not a weakly prime, because it can be changed into another prime (5208521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2604261 + 2604262.

It is an arithmetic number, because the mean of its divisors is an integer number (2604262).

Almost surely, 2^5208523 is an apocalyptic number.

5208523 is a deficient number, since it is larger than the sum of its proper divisors (1).

5208523 is an equidigital number, since it uses as much as digits as its factorization.

5208523 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5208523 is about 2282.2188764446. The cubic root of 5208523 is about 173.3424226825.

The spelling of 5208523 in words is "five million, two hundred eight thousand, five hundred twenty-three".