682109158201 has 9 divisors (see below), whose sum is σ = 695266589199. Its totient is φ = 669196227336.

The previous prime is 682109158163. The next prime is 682109158231. The reversal of 682109158201 is 102851901286.

The square root of 682109158201 is 825899.

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., 491730525225 + 190378632976 = 701235^2 + 436324^2 .

It is not a de Polignac number, because 682109158201 - 2²⁹ = 681572287289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (682109158231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43764856 + ... + 43780438.

Almost surely, 2^682109158201 is an apocalyptic number.

682109158201 is the 825899-th square number.

682109158201 is the 412950-th centered octagonal number.

It is an amenable number.

682109158201 is a deficient number, since it is larger than the sum of its proper divisors (13157430998).

682109158201 is an frugal number, since it uses more digits than its factorization.

682109158201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31272 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 682109158201 in words is "six hundred eighty-two billion, one hundred nine million, one hundred fifty-eight thousand, two hundred one".