208360296225 has 27 divisors (see below), whose sum is σ = 373208705779. Its totient is φ = 111121839600.

The previous prime is 208360296223. The next prime is 208360296233. The reversal of 208360296225 is 522692063802.

The square root of 208360296225 is 456465.

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

208360296225 is a `hidden beast` number, since 2 + 0 + 83 + 60 + 296 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75009706641 + 133350589584 = 273879^2 + 365172^2 .

It is not a de Polignac number, because 208360296225 - 2¹ = 208360296223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208360296223) 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, 6831760 + ... + 6862190.

Almost surely, 2^208360296225 is an apocalyptic number.

208360296225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

208360296225 is the 456465-th square number.

208360296225 is the 228233-rd centered octagonal number.

It is an amenable number.

208360296225 is a deficient number, since it is larger than the sum of its proper divisors (164848409554).

208360296225 is an frugal number, since it uses more digits than its factorization.

208360296225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60878 (or 30439 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 208360296225 in words is "two hundred eight billion, three hundred sixty million, two hundred ninety-six thousand, two hundred twenty-five".