127110075625 has 45 divisors (see below), whose sum is σ = 172151753961. Its totient is φ = 93780336000.

The previous prime is 127110075623. The next prime is 127110075671. The reversal of 127110075625 is 526570011721.

The square root of 127110075625 is 356525.

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

It can be written as a sum of positive squares in 22 ways, for example, as 49445303769 + 77664771856 = 222363^2 + 278684^2 .

It is not a de Polignac number, because 127110075625 - 2¹ = 127110075623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127110075623) 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, 115870077 + ... + 115871173.

Almost surely, 2^127110075625 is an apocalyptic number.

127110075625 is the 356525-th square number.

127110075625 is the 178263-rd centered octagonal number.

It is an amenable number.

127110075625 is a deficient number, since it is larger than the sum of its proper divisors (45041678336).

127110075625 is an frugal number, since it uses more digits than its factorization.

127110075625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 37.

The spelling of 127110075625 in words is "one hundred twenty-seven billion, one hundred ten million, seventy-five thousand, six hundred twenty-five".