208689080625 has 45 divisors (see below), whose sum is σ = 376741005069. Its totient is φ = 111282570000.

The previous prime is 208689080623. The next prime is 208689080653. The reversal of 208689080625 is 526080986802.

The square root of 208689080625 is 456825.

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

208689080625 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 8 + 9 + 0 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16361223921 + 192327856704 = 127911^2 + 438552^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 208689080625 - 2¹ = 208689080623 is a prime.

It is a super-2 number, since 2×208689080625² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (208689080623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34258830 + ... + 34264920.

Almost surely, 2^208689080625 is an apocalyptic number.

208689080625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

208689080625 is the 456825-th square number.

208689080625 is the 228413-rd centered octagonal number.

It is an amenable number.

208689080625 is a deficient number, since it is larger than the sum of its proper divisors (168051924444).

208689080625 is an frugal number, since it uses more digits than its factorization.

208689080625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12208 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 208689080625 in words is "two hundred eight billion, six hundred eighty-nine million, eighty thousand, six hundred twenty-five".