819414561 has 32 divisors (see below), whose sum is σ = 1296707328. Its totient is φ = 450524160.

The previous prime is 819414559. The next prime is 819414571. The reversal of 819414561 is 165414918.

It is not a de Polignac number, because 819414561 - 2¹ = 819414559 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (819414511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56335 + ... + 69371.

It is an arithmetic number, because the mean of its divisors is an integer number (40522104).

Almost surely, 2^819414561 is an apocalyptic number.

It is an amenable number.

819414561 is a deficient number, since it is larger than the sum of its proper divisors (477292767).

819414561 is a wasteful number, since it uses less digits than its factorization.

819414561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13161.

The product of its digits is 34560, while the sum is 39.

The square root of 819414561 is about 28625.4180930166. The cubic root of 819414561 is about 935.7673592235.

The spelling of 819414561 in words is "eight hundred nineteen million, four hundred fourteen thousand, five hundred sixty-one".