125966525 has 12 divisors (see below), whose sum is σ = 158761044. Its totient is φ = 99120000.

The previous prime is 125966483. The next prime is 125966579. The reversal of 125966525 is 525669521.

It can be written as a sum of positive squares in 6 ways, for example, as 35545444 + 90421081 = 5962^2 + 9509^2 .

It is not a de Polignac number, because 125966525 - 2¹² = 125962429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39776 + ... + 42825.

It is an arithmetic number, because the mean of its divisors is an integer number (13230087).

Almost surely, 2^125966525 is an apocalyptic number.

It is an amenable number.

125966525 is a deficient number, since it is larger than the sum of its proper divisors (32794519).

125966525 is an equidigital number, since it uses as much as digits as its factorization.

125966525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82672 (or 82667 counting only the distinct ones).

The product of its digits is 162000, while the sum is 41.

The square root of 125966525 is about 11223.4809662600. The cubic root of 125966525 is about 501.2853926995.

The spelling of 125966525 in words is "one hundred twenty-five million, nine hundred sixty-six thousand, five hundred twenty-five".