523008713 has 2 divisors, whose sum is σ = 523008714. Its totient is φ = 523008712.

The previous prime is 523008709. The next prime is 523008769. The reversal of 523008713 is 317800325.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331130809 + 191877904 = 18197^2 + 13852^2 .

It is a cyclic number.

It is not a de Polignac number, because 523008713 - 2² = 523008709 is a prime.

It is a super-3 number, since 3×523008713³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (523008793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261504356 + 261504357.

It is an arithmetic number, because the mean of its divisors is an integer number (261504357).

Almost surely, 2^523008713 is an apocalyptic number.

It is an amenable number.

523008713 is a deficient number, since it is larger than the sum of its proper divisors (1).

523008713 is an equidigital number, since it uses as much as digits as its factorization.

523008713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 523008713 is about 22869.3837477095. The cubic root of 523008713 is about 805.6930944277.

The spelling of 523008713 in words is "five hundred twenty-three million, eight thousand, seven hundred thirteen".