127127331225 has 30 divisors (see below), whose sum is σ = 235483766430. Its totient is φ = 67801242240.

The previous prime is 127127331179. The next prime is 127127331257. The reversal of 127127331225 is 522133721721.

127127331225 is a `hidden beast` number, since 1 + 2 + 71 + 273 + 312 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2475261504 + 124652069721 = 49752^2 + 353061^2 .

It is not a de Polignac number, because 127127331225 - 2¹⁴ = 127127314841 is a prime.

It is a super-2 number, since 2×127127331225² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127127331225.

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 29 ways as a sum of consecutive naturals, for example, 31387440 + ... + 31391489.

It is an arithmetic number, because the mean of its divisors is an integer number (7849458881).

Almost surely, 2^127127331225 is an apocalyptic number.

127127331225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127127331225 is a deficient number, since it is larger than the sum of its proper divisors (108356435205).

127127331225 is an equidigital number, since it uses as much as digits as its factorization.

127127331225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62778951 (or 62778937 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The spelling of 127127331225 in words is "one hundred twenty-seven billion, one hundred twenty-seven million, three hundred thirty-one thousand, two hundred twenty-five".