125651107729 has 27 divisors (see below), whose sum is σ = 148270502331. Its totient is φ = 106171752960.

The previous prime is 125651107649. The next prime is 125651107741. The reversal of 125651107729 is 927701156521.

The square root of 125651107729 is 354473.

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., 113418747729 + 12232360000 = 336777^2 + 110600^2 .

It is not a de Polignac number, because 125651107729 - 2¹¹ = 125651105681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125651101729) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 196023249 + ... + 196023889.

Almost surely, 2^125651107729 is an apocalyptic number.

125651107729 is the 354473-rd square number.

125651107729 is the 177237-th centered octagonal number.

It is an amenable number.

125651107729 is a deficient number, since it is larger than the sum of its proper divisors (22619394602).

125651107729 is an frugal number, since it uses more digits than its factorization.

125651107729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 46.

The spelling of 125651107729 in words is "one hundred twenty-five billion, six hundred fifty-one million, one hundred seven thousand, seven hundred twenty-nine".