65185939635961 has 9 divisors (see below), whose sum is σ = 65232388871181. Its totient is φ = 65139523468992.

The previous prime is 65185939635893. The next prime is 65185939635977. The reversal of 65185939635961 is 16953693958156.

The square root of 65185939635961 is 8073781.

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 48947779920361 + 16238159715600 = 6996269^2 + 4029660^2 .

It is not a de Polignac number, because 65185939635961 - 2³⁷ = 65048500682489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65185939633961) 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, 19675802641 + ... + 19675805953.

It is an arithmetic number, because the mean of its divisors is an integer number (7248043207909).

Almost surely, 2^{65185939635961} is an apocalyptic number.

65185939635961 is the 8073781-st square number.

65185939635961 is the 4036891-st centered octagonal number.

It is an amenable number.

65185939635961 is a deficient number, since it is larger than the sum of its proper divisors (46449235220).

65185939635961 is an frugal number, since it uses more digits than its factorization.

65185939635961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11500 (or 5750 counting only the distinct ones).

The product of its digits is 1417176000, while the sum is 76.

The spelling of 65185939635961 in words is "sixty-five trillion, one hundred eighty-five billion, nine hundred thirty-nine million, six hundred thirty-five thousand, nine hundred sixty-one".