523510313 has 2 divisors, whose sum is σ = 523510314. Its totient is φ = 523510312.

The previous prime is 523510307. The next prime is 523510319. The reversal of 523510313 is 313015325.

It is a balanced prime because it is at equal distance from previous prime (523510307) and next prime (523510319).

It can be written as a sum of positive squares in only one way, i.e., 507285529 + 16224784 = 22523^2 + 4028^2 .

It is a cyclic number.

It is not a de Polignac number, because 523510313 - 2¹⁸ = 523248169 is a prime.

It is not a weakly prime, because it can be changed into another prime (523510319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261755156 + 261755157.

It is an arithmetic number, because the mean of its divisors is an integer number (261755157).

Almost surely, 2^523510313 is an apocalyptic number.

It is an amenable number.

523510313 is a deficient number, since it is larger than the sum of its proper divisors (1).

523510313 is an equidigital number, since it uses as much as digits as its factorization.

523510313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 523510313 is about 22880.3477464832. The cubic root of 523510313 is about 805.9505831447.

Adding to 523510313 its reverse (313015325), we get a palindrome (836525638).

The spelling of 523510313 in words is "five hundred twenty-three million, five hundred ten thousand, three hundred thirteen".