208083538860201 has 63 divisors (see below), whose sum is σ = 312952025352711. Its totient is φ = 138292635481344.

The previous prime is 208083538860187. The next prime is 208083538860209. The reversal of 208083538860201 is 102068835380802.

The square root of 208083538860201 is 14425101.

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

208083538860201 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 8 + 3 + 538 + 86 + 0 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69828836013225 + 138254702846976 = 8356365^2 + 11758176^2 .

It is not a de Polignac number, because 208083538860201 - 2¹³ = 208083538852009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (208083538860209) 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 62 ways as a sum of consecutive naturals, for example, 170980721545 + ... + 170980722761.

Almost surely, 2^{208083538860201} is an apocalyptic number.

208083538860201 is the 14425101-st square number.

208083538860201 is the 7212551-st centered octagonal number.

It is an amenable number.

208083538860201 is a deficient number, since it is larger than the sum of its proper divisors (104868486492510).

208083538860201 is an frugal number, since it uses more digits than its factorization.

208083538860201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 208083538860201 in words is "two hundred eight trillion, eighty-three billion, five hundred thirty-eight million, eight hundred sixty thousand, two hundred one".