10217731157 has 2 divisors, whose sum is σ = 10217731158. Its totient is φ = 10217731156.

The previous prime is 10217731141. The next prime is 10217731159. The reversal of 10217731157 is 75113771201.

10217731157 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6761937361 + 3455793796 = 82231^2 + 58786^2 .

It is a cyclic number.

It is not a de Polignac number, because 10217731157 - 2⁴ = 10217731141 is a prime.

Together with 10217731159, 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 (10217731159) 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, 5108865578 + 5108865579.

It is an arithmetic number, because the mean of its divisors is an integer number (5108865579).

Almost surely, 2^10217731157 is an apocalyptic number.

It is an amenable number.

10217731157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10217731157 is an equidigital number, since it uses as much as digits as its factorization.

10217731157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10290, while the sum is 35.

The spelling of 10217731157 in words is "ten billion, two hundred seventeen million, seven hundred thirty-one thousand, one hundred fifty-seven".