208395641887225 has 81 divisors (see below), whose sum is σ = 295345006312743. Its totient is φ = 145780105985280.

The previous prime is 208395641887177. The next prime is 208395641887243. The reversal of 208395641887225 is 522788146593802.

It is a happy number.

The square root of 208395641887225 is 14435915.

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 71347974113529 + 137047667773696 = 8446773^2 + 11706736^2 .

It is not a de Polignac number, because 208395641887225 - 2³⁹ = 207845886073337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17828349181 + ... + 17828360869.

It is a 2-persistent number, because it is pandigital, and so is 2⋅208395641887225 = 416791283774450, but 3⋅208395641887225 = 625186925661675 is not.

Almost surely, 2^{208395641887225} is an apocalyptic number.

208395641887225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

208395641887225 is the 14435915-th square number.

208395641887225 is the 7217958-th centered octagonal number.

It is an amenable number.

208395641887225 is a deficient number, since it is larger than the sum of its proper divisors (86949364425518).

208395641887225 is an frugal number, since it uses more digits than its factorization.

208395641887225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23452 (or 11726 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 70.

The spelling of 208395641887225 in words is "two hundred eight trillion, three hundred ninety-five billion, six hundred forty-one million, eight hundred eighty-seven thousand, two hundred twenty-five".