125415443305125 has 24 divisors (see below), whose sum is σ = 226082239133400. Its totient is φ = 66888236428800.

The previous prime is 125415443305123. The next prime is 125415443305199. The reversal of 125415443305125 is 521503344514521.

125415443305125 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 1 + 544 + 3 + 30 + 51 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10419867792324 + 114995575512801 = 3227982^2 + 10723599^2 .

It is not a de Polignac number, because 125415443305125 - 2¹ = 125415443305123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125415443305123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55740195900 + ... + 55740198149.

It is an arithmetic number, because the mean of its divisors is an integer number (9420093297225).

Almost surely, 2^{125415443305125} is an apocalyptic number.

125415443305125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125415443305125 is a deficient number, since it is larger than the sum of its proper divisors (100666795828275).

125415443305125 is a wasteful number, since it uses less digits than its factorization.

125415443305125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111480394070 (or 111480394057 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 125415443305125 its reverse (521503344514521), we get a palindrome (646918787819646).

The spelling of 125415443305125 in words is "one hundred twenty-five trillion, four hundred fifteen billion, four hundred forty-three million, three hundred five thousand, one hundred twenty-five".