206426521737601 has 27 divisors (see below), whose sum is σ = 227483240796553. Its totient is φ = 187178155619840.

The previous prime is 206426521737587. The next prime is 206426521737607. The reversal of 206426521737601 is 106737125624602.

The square root of 206426521737601 is 14367551.

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 51762974233201 + 154663547504400 = 7194649^2 + 12436380^2 .

It is not a de Polignac number, because 206426521737601 - 2⁹ = 206426521737089 is a prime.

It is a super-2 number, since 2×206426521737601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206426521737607) 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 26 ways as a sum of consecutive naturals, for example, 70961332935 + ... + 70961335843.

Almost surely, 2^{206426521737601} is an apocalyptic number.

206426521737601 is the 14367551-st square number.

206426521737601 is the 7183776-th centered octagonal number.

It is an amenable number.

206426521737601 is a deficient number, since it is larger than the sum of its proper divisors (21056719058952).

206426521737601 is an frugal number, since it uses more digits than its factorization.

206426521737601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 206426521737601 in words is "two hundred six trillion, four hundred twenty-six billion, five hundred twenty-one million, seven hundred thirty-seven thousand, six hundred one".