409052445120953 has 2 divisors, whose sum is σ = 409052445120954. Its totient is φ = 409052445120952.

The previous prime is 409052445120937. The next prime is 409052445120989. The reversal of 409052445120953 is 359021544250904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 341901844585744 + 67150600535209 = 18490588^2 + 8194547^2 .

It is a cyclic number.

It is not a de Polignac number, because 409052445120953 - 2⁴ = 409052445120937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 409052445120895 and 409052445120904.

It is not a weakly prime, because it can be changed into another prime (409052445123953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204526222560476 + 204526222560477.

It is an arithmetic number, because the mean of its divisors is an integer number (204526222560477).

Almost surely, 2^{409052445120953} is an apocalyptic number.

It is an amenable number.

409052445120953 is a deficient number, since it is larger than the sum of its proper divisors (1).

409052445120953 is an equidigital number, since it uses as much as digits as its factorization.

409052445120953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776000, while the sum is 53.

The spelling of 409052445120953 in words is "four hundred nine trillion, fifty-two billion, four hundred forty-five million, one hundred twenty thousand, nine hundred fifty-three".