127003140625 has 21 divisors (see below), whose sum is σ = 158807596143. Its totient is φ = 101566875000.

The previous prime is 127003140611. The next prime is 127003140653. The reversal of 127003140625 is 526041300721.

The square root of 127003140625 is 356375.

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

It can be written as a sum of positive squares in 3 ways, for example, as 111266943489 + 15736197136 = 333567^2 + 125444^2 .

It is not a de Polignac number, because 127003140625 - 2³¹ = 124855656977 is a prime.

It is a super-2 number, since 2×127003140625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 44545450 + ... + 44548300.

It is an arithmetic number, because the mean of its divisors is an integer number (7562266483).

Almost surely, 2^127003140625 is an apocalyptic number.

127003140625 is the 356375-th square number.

127003140625 is the 178188-th centered octagonal number.

It is an amenable number.

127003140625 is a deficient number, since it is larger than the sum of its proper divisors (31804455518).

127003140625 is an frugal number, since it uses more digits than its factorization.

127003140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 127003140625 in words is "one hundred twenty-seven billion, three million, one hundred forty thousand, six hundred twenty-five".