395472206109289 has 9 divisors (see below), whose sum is σ = 417382422398967. Its totient is φ = 374657521515264.

The previous prime is 395472206109271. The next prime is 395472206109329. The reversal of 395472206109289 is 982901602274593.

The square root of 395472206109289 is 19886483.

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

It can be written as a sum of positive squares in only one way, i.e., 124718081675625 + 270754124433664 = 11167725^2 + 16454608^2 .

It is not a de Polignac number, because 395472206109289 - 2¹¹ = 395472206107241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (395472206109269) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 377319849 + ... + 378366505.

It is a 1-persistent number, because it is pandigital, but 2⋅395472206109289 = 790944412218578 is not.

Almost surely, 2^{395472206109289} is an apocalyptic number.

395472206109289 is the 19886483-rd square number.

395472206109289 is the 9943242-nd centered octagonal number.

It is an amenable number.

395472206109289 is a deficient number, since it is larger than the sum of its proper divisors (21910216289678).

395472206109289 is an frugal number, since it uses more digits than its factorization.

395472206109289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093352 (or 1046676 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 67.

The spelling of 395472206109289 in words is "three hundred ninety-five trillion, four hundred seventy-two billion, two hundred six million, one hundred nine thousand, two hundred eighty-nine".