65865187053169 has 27 divisors (see below), whose sum is σ = 79353799821387. Its totient is φ = 54507756876048.

The previous prime is 65865187053167. The next prime is 65865187053251. The reversal of 65865187053169 is 96135078156856.

The square root of 65865187053169 is 8115737.

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

It can be written as a sum of positive squares in only one way, i.e., 34538106409569 + 31327080643600 = 5876913^2 + 5597060^2 .

It is not a de Polignac number, because 65865187053169 - 2¹ = 65865187053167 is a prime.

It is a super-2 number, since 2×65865187053169² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65865187053098 and 65865187053107.

It is not an unprimeable number, because it can be changed into a prime (65865187053167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1647474622 + ... + 1647514600.

Almost surely, 2^{65865187053169} is an apocalyptic number.

65865187053169 is the 8115737-th square number.

65865187053169 is the 4057869-th centered octagonal number.

It is an amenable number.

65865187053169 is a deficient number, since it is larger than the sum of its proper divisors (13488612768218).

65865187053169 is an frugal number, since it uses more digits than its factorization.

65865187053169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80030 (or 40015 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 70.

The spelling of 65865187053169 in words is "sixty-five trillion, eight hundred sixty-five billion, one hundred eighty-seven million, fifty-three thousand, one hundred sixty-nine".