65127762268321 has 8 divisors (see below), whose sum is σ = 69136079112360. Its totient is φ = 61139142313728.

The previous prime is 65127762268313. The next prime is 65127762268337. The reversal of 65127762268321 is 12386226772156.

65127762268321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12743750485921 + 52384011782400 = 3569839^2 + 7237680^2 .

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 65127762268321 - 2³ = 65127762268313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (65127762263321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4924215546 + ... + 4924228771.

It is an arithmetic number, because the mean of its divisors is an integer number (8642009889045).

Almost surely, 2^{65127762268321} is an apocalyptic number.

It is an amenable number.

65127762268321 is a deficient number, since it is larger than the sum of its proper divisors (4008316844039).

65127762268321 is a wasteful number, since it uses less digits than its factorization.

65127762268321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848444723.

The product of its digits is 20321280, while the sum is 58.

The spelling of 65127762268321 in words is "sixty-five trillion, one hundred twenty-seven billion, seven hundred sixty-two million, two hundred sixty-eight thousand, three hundred twenty-one".