204010305625 has 135 divisors (see below), whose sum is σ = 310620973377. Its totient is φ = 133551264000.

The previous prime is 204010305571. The next prime is 204010305641. The reversal of 204010305625 is 526503010402.

The square root of 204010305625 is 451675.

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

It can be written as a sum of positive squares in 22 ways, for example, as 140633250121 + 63377055504 = 375011^2 + 251748^2 .

It is not a de Polignac number, because 204010305625 - 2¹⁵ = 204010272857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 204010305593 and 204010305602.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2292250581 + ... + 2292250669.

Almost surely, 2^204010305625 is an apocalyptic number.

204010305625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

204010305625 is the 451675-th square number.

204010305625 is the 225838-th centered octagonal number.

It is an amenable number.

204010305625 is a deficient number, since it is larger than the sum of its proper divisors (106610667752).

204010305625 is an frugal number, since it uses more digits than its factorization.

204010305625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 204010305625 in words is "two hundred four billion, ten million, three hundred five thousand, six hundred twenty-five".