10180968522169 has 9 divisors (see below), whose sum is σ = 10218742729167. Its totient is φ = 10143333472584.

The previous prime is 10180968522161. The next prime is 10180968522191. The reversal of 10180968522169 is 96122586908101.

The square root of 10180968522169 is 3190763.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1754790349225 + 8426178172944 = 1324685^2 + 2902788^2 .

It is not a de Polignac number, because 10180968522169 - 2³ = 10180968522161 is a prime.

It is a super-2 number, since 2×10180968522169² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10180968522161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 883835592 + ... + 883847110.

Almost surely, 2^{10180968522169} is an apocalyptic number.

10180968522169 is the 3190763-rd square number.

10180968522169 is the 1595382-nd centered octagonal number.

It is an amenable number.

10180968522169 is a deficient number, since it is larger than the sum of its proper divisors (37774206998).

10180968522169 is an frugal number, since it uses more digits than its factorization.

10180968522169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23592 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 58.

The spelling of 10180968522169 in words is "ten trillion, one hundred eighty billion, nine hundred sixty-eight million, five hundred twenty-two thousand, one hundred sixty-nine".