127181705265 has 12 divisors (see below), whose sum is σ = 220448289204. Its totient is φ = 67830242784.

The previous prime is 127181705197. The next prime is 127181705279. The reversal of 127181705265 is 562507181721.

It can be written as a sum of positive squares in 2 ways, for example, as 49213429281 + 77968275984 = 221841^2 + 279228^2 .

It is not a de Polignac number, because 127181705265 - 2⁷ = 127181705137 is a prime.

It is a super-2 number, since 2×127181705265² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2826260117 = 127181705265 / (1 + 2 + 7 + 1 + 8 + 1 + 7 + 0 + 5 + 2 + 6 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 127181705265.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1413130014 + ... + 1413130103.

It is an arithmetic number, because the mean of its divisors is an integer number (18370690767).

Almost surely, 2^127181705265 is an apocalyptic number.

127181705265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127181705265 is a deficient number, since it is larger than the sum of its proper divisors (93266583939).

127181705265 is a wasteful number, since it uses less digits than its factorization.

127181705265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826260128 (or 2826260125 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

Adding to 127181705265 its reverse (562507181721), we get a palindrome (689688886986).

The spelling of 127181705265 in words is "one hundred twenty-seven billion, one hundred eighty-one million, seven hundred five thousand, two hundred sixty-five".