523605413 has 2 divisors, whose sum is σ = 523605414. Its totient is φ = 523605412.

The previous prime is 523605359. The next prime is 523605437. The reversal of 523605413 is 314506325.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 522488164 + 1117249 = 22858^2 + 1057^2 .

It is a cyclic number.

It is not a de Polignac number, because 523605413 - 2⁸ = 523605157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (523605473) 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, 261802706 + 261802707.

It is an arithmetic number, because the mean of its divisors is an integer number (261802707).

Almost surely, 2^523605413 is an apocalyptic number.

It is an amenable number.

523605413 is a deficient number, since it is larger than the sum of its proper divisors (1).

523605413 is an equidigital number, since it uses as much as digits as its factorization.

523605413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 523605413 is about 22882.4258547908. The cubic root of 523605413 is about 805.9993827308. Note that the first 3 decimals are identical.

The spelling of 523605413 in words is "five hundred twenty-three million, six hundred five thousand, four hundred thirteen".