395428426561 has 9 divisors (see below), whose sum is σ = 459993290211. Its totient is φ = 338934878352.

The previous prime is 395428426541. The next prime is 395428426649. The reversal of 395428426561 is 165624824593.

The square root of 395428426561 is 628831.

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., 283433788225 + 111994638336 = 532385^2 + 334656^2 .

It is not a de Polignac number, because 395428426561 - 2²³ = 395420037953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (395428426501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4356901 + ... + 4446733.

It is an arithmetic number, because the mean of its divisors is an integer number (51110365579).

Almost surely, 2^395428426561 is an apocalyptic number.

395428426561 is the 628831-st square number.

395428426561 is the 314416-th centered octagonal number.

It is an amenable number.

395428426561 is a deficient number, since it is larger than the sum of its proper divisors (64564863650).

395428426561 is an frugal number, since it uses more digits than its factorization.

395428426561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179680 (or 89840 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 55.

The spelling of 395428426561 in words is "three hundred ninety-five billion, four hundred twenty-eight million, four hundred twenty-six thousand, five hundred sixty-one".