404031853225 has 243 divisors, whose sum is σ = 699165010341. Its totient is φ = 230659228800.

The previous prime is 404031853213. The next prime is 404031853237. The reversal of 404031853225 is 522358130404.

The square root of 404031853225 is 635635.

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

It is an interprime number because it is at equal distance from previous prime (404031853213) and next prime (404031853237).

It can be written as a sum of positive squares in 4 ways, for example, as 104139807849 + 299892045376 = 322707^2 + 547624^2 .

It is not a de Polignac number, because 404031853225 - 2⁵ = 404031853193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3181353112 + ... + 3181353238.

Almost surely, 2^404031853225 is an apocalyptic number.

404031853225 is the 635635-th square number.

404031853225 is the 317818-th centered octagonal number.

It is an amenable number.

404031853225 is a deficient number, since it is larger than the sum of its proper divisors (295133157116).

404031853225 is a wasteful number, since it uses less digits than its factorization.

404031853225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 404031853225 its reverse (522358130404), we get a palindrome (926389983629).

The spelling of 404031853225 in words is "four hundred four billion, thirty-one million, eight hundred fifty-three thousand, two hundred twenty-five".