125760413105 has 16 divisors (see below), whose sum is σ = 154494486864. Its totient is φ = 98247628800.

The previous prime is 125760413059. The next prime is 125760413117. The reversal of 125760413105 is 501314067521.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20275766449 + 105484646656 = 142393^2 + 324784^2 .

It is not a de Polignac number, because 125760413105 - 2²⁸ = 125491977649 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1668824 + ... + 1742553.

It is an arithmetic number, because the mean of its divisors is an integer number (9655905429).

Almost surely, 2^125760413105 is an apocalyptic number.

It is an amenable number.

125760413105 is a deficient number, since it is larger than the sum of its proper divisors (28734073759).

125760413105 is a wasteful number, since it uses less digits than its factorization.

125760413105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411556.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 125760413105 in words is "one hundred twenty-five billion, seven hundred sixty million, four hundred thirteen thousand, one hundred five".