65899504858201 has 27 divisors (see below), whose sum is σ = 78135857817213. Its totient is φ = 55416996922560.

The previous prime is 65899504858189. The next prime is 65899504858211. The reversal of 65899504858201 is 10285840599856.

The square root of 65899504858201 is 8117851.

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 13544497681225 + 52355007176976 = 3680285^2 + 7235676^2 .

It is not a de Polignac number, because 65899504858201 - 2⁵ = 65899504858169 is a prime.

It is a super-2 number, since 2×65899504858201² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (65899504858211) 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, 3011711781 + ... + 3011733661.

Almost surely, 2^{65899504858201} is an apocalyptic number.

65899504858201 is the 8117851-st square number.

65899504858201 is the 4058926-th centered octagonal number.

It is an amenable number.

65899504858201 is a deficient number, since it is larger than the sum of its proper divisors (12236352959012).

65899504858201 is an frugal number, since it uses more digits than its factorization.

65899504858201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43882 (or 21941 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 70.

The spelling of 65899504858201 in words is "sixty-five trillion, eight hundred ninety-nine billion, five hundred four million, eight hundred fifty-eight thousand, two hundred one".