65857677401 has 2 divisors, whose sum is σ = 65857677402. Its totient is φ = 65857677400.

The previous prime is 65857677349. The next prime is 65857677433. The reversal of 65857677401 is 10477675856.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62302656025 + 3555021376 = 249605^2 + 59624^2 .

It is a cyclic number.

It is not a de Polignac number, because 65857677401 - 2⁶ = 65857677337 is a prime.

It is a super-3 number, since 3×65857677401³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (65857677701) by changing a digit.

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 as a sum of consecutive naturals, namely, 32928838700 + 32928838701.

It is an arithmetic number, because the mean of its divisors is an integer number (32928838701).

Almost surely, 2^65857677401 is an apocalyptic number.

It is an amenable number.

65857677401 is a deficient number, since it is larger than the sum of its proper divisors (1).

65857677401 is an equidigital number, since it uses as much as digits as its factorization.

65857677401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9878400, while the sum is 56.

The spelling of 65857677401 in words is "sixty-five billion, eight hundred fifty-seven million, six hundred seventy-seven thousand, four hundred one".