208528309201 has 3 divisors (see below), whose sum is σ = 208528765851. Its totient is φ = 208527852552.

The previous prime is 208528309189. The next prime is 208528309217. The reversal of 208528309201 is 102903825802.

The square root of 208528309201 is 456649.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 102903825802 = 2 ⋅51451912901.

It can be written as a sum of positive squares in only one way, i.e., 206662069201 + 1866240000 = 454601^2 + 43200^2 .

It is not a de Polignac number, because 208528309201 - 2²¹ = 208526212049 is a prime.

It is a super-2 number, since 2×208528309201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208528309901) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 228325 + ... + 684973.

It is an arithmetic number, because the mean of its divisors is an integer number (69509588617).

Almost surely, 2^208528309201 is an apocalyptic number.

208528309201 is the 456649-th square number.

208528309201 is the 228325-th centered octagonal number.

It is an amenable number.

208528309201 is a deficient number, since it is larger than the sum of its proper divisors (456650).

208528309201 is an frugal number, since it uses more digits than its factorization.

208528309201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913298 (or 456649 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 208528309201 in words is "two hundred eight billion, five hundred twenty-eight million, three hundred nine thousand, two hundred one".