10686825172007 has 2 divisors, whose sum is σ = 10686825172008. Its totient is φ = 10686825172006.

The previous prime is 10686825171949. The next prime is 10686825172021. The reversal of 10686825172007 is 70027152868601.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10686825172007 is a prime.

It is a super-2 number, since 2×10686825172007² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10686825172007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10686825172207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5343412586003 + 5343412586004.

It is an arithmetic number, because the mean of its divisors is an integer number (5343412586004).

Almost surely, 2^{10686825172007} is an apocalyptic number.

10686825172007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10686825172007 is an equidigital number, since it uses as much as digits as its factorization.

10686825172007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2257920, while the sum is 53.

The spelling of 10686825172007 in words is "ten trillion, six hundred eighty-six billion, eight hundred twenty-five million, one hundred seventy-two thousand, seven".