409132933225 has 27 divisors (see below), whose sum is σ = 535511011653. Its totient is φ = 310033643040.

The previous prime is 409132933207. The next prime is 409132933247. The reversal of 409132933225 is 522339231904.

The square root of 409132933225 is 639635.

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 119275601769 + 289857331456 = 345363^2 + 538384^2 .

It is not a de Polignac number, because 409132933225 - 2⁹ = 409132932713 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60761959 + ... + 60768691.

Almost surely, 2^409132933225 is an apocalyptic number.

409132933225 is the 639635-th square number.

409132933225 is the 319818-th centered octagonal number.

It is an amenable number.

409132933225 is a deficient number, since it is larger than the sum of its proper divisors (126378078428).

409132933225 is an frugal number, since it uses more digits than its factorization.

409132933225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13514 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The spelling of 409132933225 in words is "four hundred nine billion, one hundred thirty-two million, nine hundred thirty-three thousand, two hundred twenty-five".