395865153040361 has 2 divisors, whose sum is σ = 395865153040362. Its totient is φ = 395865153040360.

The previous prime is 395865153040349. The next prime is 395865153040367. The reversal of 395865153040361 is 163040351568593.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 342266428197136 + 53598724843225 = 18500444^2 + 7321115^2 .

It is a cyclic number.

It is not a de Polignac number, because 395865153040361 - 2¹⁰ = 395865153039337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 395865153040361.

It is not a weakly prime, because it can be changed into another prime (395865153040367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 197932576520180 + 197932576520181.

It is an arithmetic number, because the mean of its divisors is an integer number (197932576520181).

Almost surely, 2^{395865153040361} is an apocalyptic number.

It is an amenable number.

395865153040361 is a deficient number, since it is larger than the sum of its proper divisors (1).

395865153040361 is an equidigital number, since it uses as much as digits as its factorization.

395865153040361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992000, while the sum is 59.

The spelling of 395865153040361 in words is "three hundred ninety-five trillion, eight hundred sixty-five billion, one hundred fifty-three million, forty thousand, three hundred sixty-one".