125242605225 has 36 divisors (see below), whose sum is σ = 232058724300. Its totient is φ = 64492740480.

The previous prime is 125242605223. The next prime is 125242605227. The reversal of 125242605225 is 522506242521.

125242605225 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 42 + 605 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (125242605223) and next prime (125242605227).

It can be written as a sum of positive squares in 6 ways, for example, as 12251833344 + 112990771881 = 110688^2 + 336141^2 .

It is not a de Polignac number, because 125242605225 - 2¹ = 125242605223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125242605225.

It is not an unprimeable number, because it can be changed into a prime (125242605223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9590610 + ... + 9603659.

It is an arithmetic number, because the mean of its divisors is an integer number (6446075675).

Almost surely, 2^125242605225 is an apocalyptic number.

125242605225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125242605225 is a deficient number, since it is larger than the sum of its proper divisors (106816119075).

125242605225 is a wasteful number, since it uses less digits than its factorization.

125242605225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19194314 (or 19194306 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 125242605225 its reverse (522506242521), we get a palindrome (647748847746).

The spelling of 125242605225 in words is "one hundred twenty-five billion, two hundred forty-two million, six hundred five thousand, two hundred twenty-five".