10686825172159 has 2 divisors, whose sum is σ = 10686825172160. Its totient is φ = 10686825172158.

The previous prime is 10686825172021. The next prime is 10686825172207. The reversal of 10686825172159 is 95127152868601.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10686825172159 - 2⁹ = 10686825171647 is a prime.

It is a super-2 number, since 2×10686825172159² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10686825172097 and 10686825172106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10686825172259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5343412586079 + 5343412586080.

It is an arithmetic number, because the mean of its divisors is an integer number (5343412586080).

Almost surely, 2^{10686825172159} is an apocalyptic number.

10686825172159 is a deficient number, since it is larger than the sum of its proper divisors (1).

10686825172159 is an equidigital number, since it uses as much as digits as its factorization.

10686825172159 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14515200, while the sum is 61.

The spelling of 10686825172159 in words is "ten trillion, six hundred eighty-six billion, eight hundred twenty-five million, one hundred seventy-two thousand, one hundred fifty-nine".