125211065625 has 288 divisors, whose sum is σ = 250597960704. Its totient is φ = 62334360000.

The previous prime is 125211065611. The next prime is 125211065641. The reversal of 125211065625 is 526560112521.

125211065625 is a `hidden beast` number, since 1 + 2 + 5 + 21 + 1 + 0 + 6 + 5 + 625 = 666.

It is not a de Polignac number, because 125211065625 - 2⁵ = 125211065593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125211065625.

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 287 ways as a sum of consecutive naturals, for example, 1170196822 + ... + 1170196928.

It is an arithmetic number, because the mean of its divisors is an integer number (870131808).

Almost surely, 2^125211065625 is an apocalyptic number.

125211065625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125211065625 is an abundant number, since it is smaller than the sum of its proper divisors (125386895079).

125211065625 is an frugal number, since it uses more digits than its factorization.

125211065625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 125211065625 in words is "one hundred twenty-five billion, two hundred eleven million, sixty-five thousand, six hundred twenty-five".