65834999971129 has 9 divisors (see below), whose sum is σ = 66749803929453. Its totient is φ = 64932566457312.

The previous prime is 65834999971109. The next prime is 65834999971141. The reversal of 65834999971129 is 92117999943856.

The square root of 65834999971129 is 8113877.

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

It can be written as a sum of positive squares in 4 ways, for example, as 178789437225 + 65656210533904 = 422835^2 + 8102852^2 .

It is not a de Polignac number, because 65834999971129 - 2²¹ = 65834997873977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65834999971109) 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, 592257447 + ... + 592368595.

Almost surely, 2^{65834999971129} is an apocalyptic number.

65834999971129 is the 8113877-th square number.

65834999971129 is the 4056939-th centered octagonal number.

It is an amenable number.

65834999971129 is a deficient number, since it is larger than the sum of its proper divisors (914803958324).

65834999971129 is an frugal number, since it uses more digits than its factorization.

65834999971129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222444 (or 111222 counting only the distinct ones).

The product of its digits is 2380855680, while the sum is 82.

The spelling of 65834999971129 in words is "sixty-five trillion, eight hundred thirty-four billion, nine hundred ninety-nine million, nine hundred seventy-one thousand, one hundred twenty-nine".