127907300971321 has 9 divisors (see below), whose sum is σ = 127986279473871. Its totient is φ = 127828371196152.

The previous prime is 127907300971279. The next prime is 127907300971343. The reversal of 127907300971321 is 123179003709721.

It is a happy number.

The square root of 127907300971321 is 11309611.

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

It can be written as a sum of positive squares in only one way, i.e., 54886242675625 + 73021058295696 = 7408525^2 + 8545236^2 .

It is not a de Polignac number, because 127907300971321 - 2¹⁵ = 127907300938553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127907300971621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28918673116 + ... + 28918677538.

It is an arithmetic number, because the mean of its divisors is an integer number (14220697719319).

Almost surely, 2^{127907300971321} is an apocalyptic number.

127907300971321 is the 11309611-st square number.

127907300971321 is the 5654806-th centered octagonal number.

It is an amenable number.

127907300971321 is a deficient number, since it is larger than the sum of its proper divisors (78978502550).

127907300971321 is an frugal number, since it uses more digits than its factorization.

127907300971321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13960 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 52.

The spelling of 127907300971321 in words is "one hundred twenty-seven trillion, nine hundred seven billion, three hundred million, nine hundred seventy-one thousand, three hundred twenty-one".