10167138617 has 2 divisors, whose sum is σ = 10167138618. Its totient is φ = 10167138616.

The previous prime is 10167138599. The next prime is 10167138629. The reversal of 10167138617 is 71683176101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9485980816 + 681157801 = 97396^2 + 26099^2 .

It is a cyclic number.

It is not a de Polignac number, because 10167138617 - 2¹⁴ = 10167122233 is a prime.

It is a super-3 number, since 3×10167138617³ (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10167108617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5083569308 + 5083569309.

It is an arithmetic number, because the mean of its divisors is an integer number (5083569309).

Almost surely, 2^10167138617 is an apocalyptic number.

It is an amenable number.

10167138617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10167138617 is an equidigital number, since it uses as much as digits as its factorization.

10167138617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 41.

The spelling of 10167138617 in words is "ten billion, one hundred sixty-seven million, one hundred thirty-eight thousand, six hundred seventeen".