204688380625 has 15 divisors (see below), whose sum is σ = 255792734967. Its totient is φ = 163741656000.

The previous prime is 204688380583. The next prime is 204688380647. The reversal of 204688380625 is 526083886402.

The square root of 204688380625 is 452425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 203169252049 + 1519128576 = 450743^2 + 38976^2 .

It is not a de Polignac number, because 204688380625 - 2⁷ = 204688380497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11301577 + ... + 11319673.

Almost surely, 2^204688380625 is an apocalyptic number.

204688380625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

204688380625 is the 452425-th square number.

204688380625 is the 226213-rd centered octagonal number.

It is an amenable number.

204688380625 is a deficient number, since it is larger than the sum of its proper divisors (51104354342).

204688380625 is an frugal number, since it uses more digits than its factorization.

204688380625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36214 (or 18102 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 204688380625 in words is "two hundred four billion, six hundred eighty-eight million, three hundred eighty thousand, six hundred twenty-five".