125816444225 has 48 divisors (see below), whose sum is σ = 162816245760. Its totient is φ = 96340449600.

The previous prime is 125816444197. The next prime is 125816444231. The reversal of 125816444225 is 522444618521.

It is not a de Polignac number, because 125816444225 - 2⁶ = 125816444161 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30484112 + ... + 30488238.

It is an arithmetic number, because the mean of its divisors is an integer number (3392005120).

Almost surely, 2^125816444225 is an apocalyptic number.

It is an amenable number.

125816444225 is a deficient number, since it is larger than the sum of its proper divisors (36999801535).

125816444225 is a wasteful number, since it uses less digits than its factorization.

125816444225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4585 counting only the distinct ones).

The product of its digits is 614400, while the sum is 44.

The spelling of 125816444225 in words is "one hundred twenty-five billion, eight hundred sixteen million, four hundred forty-four thousand, two hundred twenty-five".