127752742302601 has 8 divisors (see below), whose sum is σ = 137584647679304. Its totient is φ = 117921518547840.

The previous prime is 127752742302589. The next prime is 127752742302623. The reversal of 127752742302601 is 106203247257721.

It can be written as a sum of positive squares in 4 ways, for example, as 114717012601 + 127638025290000 = 338699^2 + 11297700^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 127752742302601 - 2²³ = 127752733913993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127752842302601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170016180 + ... + 170765941.

It is an arithmetic number, because the mean of its divisors is an integer number (17198080959913).

Almost surely, 2^{127752742302601} is an apocalyptic number.

It is an amenable number.

127752742302601 is a deficient number, since it is larger than the sum of its proper divisors (9831905376703).

127752742302601 is a wasteful number, since it uses less digits than its factorization.

127752742302601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340810971.

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 127752742302601 in words is "one hundred twenty-seven trillion, seven hundred fifty-two billion, seven hundred forty-two million, three hundred two thousand, six hundred one".