208086507225 has 189 divisors, whose sum is σ = 403447015629. Its totient is φ = 106414171200.

The previous prime is 208086507203. The next prime is 208086507263. The reversal of 208086507225 is 522705680802.

The square root of 208086507225 is 456165.

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 762919641 + 207323587584 = 27621^2 + 455328^2 .

It is not a de Polignac number, because 208086507225 - 2⁵ = 208086507193 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1909050471 + ... + 1909050579.

Almost surely, 2^208086507225 is an apocalyptic number.

208086507225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

208086507225 is the 456165-th square number.

208086507225 is the 228083-rd centered octagonal number.

It is an amenable number.

208086507225 is a deficient number, since it is larger than the sum of its proper divisors (195360508404).

208086507225 is an frugal number, since it uses more digits than its factorization.

208086507225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 208086507225 in words is "two hundred eight billion, eighty-six million, five hundred seven thousand, two hundred twenty-five".