395671175505225 has 45 divisors (see below), whose sum is σ = 732921450326373. Its totient is φ = 211024149540480.

The previous prime is 395671175505197. The next prime is 395671175505233. The reversal of 395671175505225 is 522505571176593.

The square root of 395671175505225 is 19891485.

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

395671175505225 is a `hidden beast` number, since 3 + 9 + 5 + 6 + 7 + 1 + 1 + 7 + 550 + 52 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132693189678009 + 262977985827216 = 11519253^2 + 16216596^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 395671175505225 - 2⁷ = 395671175505097 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 894895809 + ... + 895337841.

Almost surely, 2^{395671175505225} is an apocalyptic number.

395671175505225 is the 19891485-th square number.

395671175505225 is the 9945743-rd centered octagonal number.

It is an amenable number.

395671175505225 is a deficient number, since it is larger than the sum of its proper divisors (337250274821148).

395671175505225 is an frugal number, since it uses more digits than its factorization.

395671175505225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884088 (or 442041 counting only the distinct ones).

The product of its (nonzero) digits is 99225000, while the sum is 63.

The spelling of 395671175505225 in words is "three hundred ninety-five trillion, six hundred seventy-one billion, one hundred seventy-five million, five hundred five thousand, two hundred twenty-five".