13508436257 has 2 divisors, whose sum is σ = 13508436258. Its totient is φ = 13508436256.

The previous prime is 13508436241. The next prime is 13508436259. The reversal of 13508436257 is 75263480531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13504531681 + 3904576 = 116209^2 + 1976^2 .

It is a cyclic number.

It is not a de Polignac number, because 13508436257 - 2⁴ = 13508436241 is a prime.

Together with 13508436259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13508436259) 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, 6754218128 + 6754218129.

It is an arithmetic number, because the mean of its divisors is an integer number (6754218129).

Almost surely, 2^13508436257 is an apocalyptic number.

It is an amenable number.

13508436257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13508436257 is an equidigital number, since it uses as much as digits as its factorization.

13508436257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 13508436257 in words is "thirteen billion, five hundred eight million, four hundred thirty-six thousand, two hundred fifty-seven".