208713930894225 has 405 divisors, whose sum is σ = 416330842939011. Its totient is φ = 103352217235200.

The previous prime is 208713930894197. The next prime is 208713930894233. The reversal of 208713930894225 is 522498039317802.

The square root of 208713930894225 is 14446935.

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

208713930894225 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 13 + 9 + 308 + 94 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 188327947367169 + 20385983527056 = 13723263^2 + 4515084^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 208713930894225 - 2²⁹ = 208713394023313 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 753479894787 + ... + 753479895063.

Almost surely, 2^{208713930894225} is an apocalyptic number.

208713930894225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

208713930894225 is the 14446935-th square number.

208713930894225 is the 7223468-th centered octagonal number.

It is an amenable number.

208713930894225 is a deficient number, since it is larger than the sum of its proper divisors (207616912044786).

208713930894225 is an frugal number, since it uses more digits than its factorization.

208713930894225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 208713930894225 in words is "two hundred eight trillion, seven hundred thirteen billion, nine hundred thirty million, eight hundred ninety-four thousand, two hundred twenty-five".