206705713201 has 27 divisors (see below), whose sum is σ = 229690940067. Its totient is φ = 185933255040.

The previous prime is 206705713199. The next prime is 206705713211. The reversal of 206705713201 is 102317507602.

The square root of 206705713201 is 454649.

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

It can be written as a sum of positive squares in 13 ways, for example, as 118472951601 + 88232761600 = 344199^2 + 297040^2 .

It is not a de Polignac number, because 206705713201 - 2¹ = 206705713199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206705713211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 242327491 + ... + 242328343.

Almost surely, 2^206705713201 is an apocalyptic number.

206705713201 is the 454649-th square number.

206705713201 is the 227325-th centered octagonal number.

It is an amenable number.

206705713201 is a deficient number, since it is larger than the sum of its proper divisors (22985226866).

206705713201 is an frugal number, since it uses more digits than its factorization.

206705713201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 206705713201 in words is "two hundred six billion, seven hundred five million, seven hundred thirteen thousand, two hundred one".