10235319775517 has 2 divisors, whose sum is σ = 10235319775518. Its totient is φ = 10235319775516.

The previous prime is 10235319775477. The next prime is 10235319775519. The reversal of 10235319775517 is 71557791353201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10212504881401 + 22814894116 = 3195701^2 + 151046^2 .

It is an emirp because it is prime and its reverse (71557791353201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10235319775517 - 2⁶ = 10235319775453 is a prime.

Together with 10235319775519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10235319775519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5117659887758 + 5117659887759.

It is an arithmetic number, because the mean of its divisors is an integer number (5117659887759).

Almost surely, 2^{10235319775517} is an apocalyptic number.

It is an amenable number.

10235319775517 is a deficient number, since it is larger than the sum of its proper divisors (1).

10235319775517 is an equidigital number, since it uses as much as digits as its factorization.

10235319775517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6945750, while the sum is 56.

The spelling of 10235319775517 in words is "ten trillion, two hundred thirty-five billion, three hundred nineteen million, seven hundred seventy-five thousand, five hundred seventeen".