523105309 has 2 divisors, whose sum is σ = 523105310. Its totient is φ = 523105308.

The previous prime is 523105291. The next prime is 523105327. The reversal of 523105309 is 903501325.

It is a balanced prime because it is at equal distance from previous prime (523105291) and next prime (523105327).

It can be written as a sum of positive squares in only one way, i.e., 499388409 + 23716900 = 22347^2 + 4870^2 .

It is a cyclic number.

It is not a de Polignac number, because 523105309 - 2¹³ = 523097117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (523105339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261552654 + 261552655.

It is an arithmetic number, because the mean of its divisors is an integer number (261552655).

Almost surely, 2^523105309 is an apocalyptic number.

It is an amenable number.

523105309 is a deficient number, since it is larger than the sum of its proper divisors (1).

523105309 is an equidigital number, since it uses as much as digits as its factorization.

523105309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 523105309 is about 22871.4955566968. The cubic root of 523105309 is about 805.7426933078.

The spelling of 523105309 in words is "five hundred twenty-three million, one hundred five thousand, three hundred nine".