409052445252025 has 9 divisors (see below), whose sum is σ = 507225157507821. Its totient is φ = 327241875301440.

The previous prime is 409052445252007. The next prime is 409052445252071. The reversal of 409052445252025 is 520252544250904.

The square root of 409052445252025 is 20225045.

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 33591911997609 + 375460533254416 = 5795853^2 + 19376804^2 .

It is not a de Polignac number, because 409052445252025 - 2¹⁷ = 409052445120953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 409052445252025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99102721 + ... + 103147729.

Almost surely, 2^{409052445252025} is an apocalyptic number.

409052445252025 is the 20225045-th square number.

409052445252025 is the 10112523-rd centered octagonal number.

It is an amenable number.

409052445252025 is a deficient number, since it is larger than the sum of its proper divisors (98172712255796).

409052445252025 is an frugal number, since it uses more digits than its factorization.

409052445252025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090028 (or 4045014 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 49.

The spelling of 409052445252025 in words is "four hundred nine trillion, fifty-two billion, four hundred forty-five million, two hundred fifty-two thousand, twenty-five".