13523413513 has 2 divisors, whose sum is σ = 13523413514. Its totient is φ = 13523413512.

The previous prime is 13523413511. The next prime is 13523413559. The reversal of 13523413513 is 31531432531.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11477479689 + 2045933824 = 107133^2 + 45232^2 .

It is an emirp because it is prime and its reverse (31531432531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13523413513 - 2¹ = 13523413511 is a prime.

Together with 13523413511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13523413511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6761706756 + 6761706757.

It is an arithmetic number, because the mean of its divisors is an integer number (6761706757).

Almost surely, 2^13523413513 is an apocalyptic number.

It is an amenable number.

13523413513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13523413513 is an equidigital number, since it uses as much as digits as its factorization.

13523413513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16200, while the sum is 31.

The spelling of 13523413513 in words is "thirteen billion, five hundred twenty-three million, four hundred thirteen thousand, five hundred thirteen".