125168071681 has 9 divisors (see below), whose sum is σ = 125596557891. Its totient is φ = 124741045944.

The previous prime is 125168071649. The next prime is 125168071711. The reversal of 125168071681 is 186170861521.

The square root of 125168071681 is 353791.

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., 16703236081 + 108464835600 = 129241^2 + 329340^2 .

It is not a de Polignac number, because 125168071681 - 2⁵ = 125168071649 is a prime.

It is a super-2 number, since 2×125168071681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125168071481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 176541355 + ... + 176542063.

It is an arithmetic number, because the mean of its divisors is an integer number (13955173099).

Almost surely, 2^125168071681 is an apocalyptic number.

125168071681 is the 353791-st square number.

125168071681 is the 176896-th centered octagonal number.

It is an amenable number.

125168071681 is a deficient number, since it is larger than the sum of its proper divisors (428486210).

125168071681 is an frugal number, since it uses more digits than its factorization.

125168071681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 46.

The spelling of 125168071681 in words is "one hundred twenty-five billion, one hundred sixty-eight million, seventy-one thousand, six hundred eighty-one".