127125625 has 45 divisors (see below), whose sum is σ = 178973179. Its totient is φ = 90200000.

The previous prime is 127125617. The next prime is 127125629. The reversal of 127125625 is 526521721.

The square root of 127125625 is 11275.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 126630009 + 495616 = 11253^2 + 704^2 .

It is not a de Polignac number, because 127125625 - 2³ = 127125617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127125629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3100605 + ... + 3100645.

Almost surely, 2^127125625 is an apocalyptic number.

127125625 is the 11275-th square number.

127125625 is the 5638-th centered octagonal number.

It is an amenable number.

127125625 is a deficient number, since it is larger than the sum of its proper divisors (51847554).

127125625 is an frugal number, since it uses more digits than its factorization.

127125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 57 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The cubic root of 127125625 is about 502.8182517355.

It can be divided in two parts, 1271 and 25625, that added together give a square (26896 = 164²).

The spelling of 127125625 in words is "one hundred twenty-seven million, one hundred twenty-five thousand, six hundred twenty-five".