819008919 has 12 divisors (see below), whose sum is σ = 1183260936. Its totient is φ = 545891472.

The previous prime is 819008849. The next prime is 819008941. The reversal of 819008919 is 919800918.

It is not a de Polignac number, because 819008919 - 2⁷ = 819008791 is a prime.

It is a super-2 number, since 2×819008919² = 1341551218803097122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819008969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80112 + ... + 89754.

It is an arithmetic number, because the mean of its divisors is an integer number (98605078).

Almost surely, 2^819008919 is an apocalyptic number.

819008919 is a deficient number, since it is larger than the sum of its proper divisors (364252017).

819008919 is a wasteful number, since it uses less digits than its factorization.

819008919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19086 (or 19083 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The square root of 819008919 is about 28618.3318696251. The cubic root of 819008919 is about 935.6129200197.

The spelling of 819008919 in words is "eight hundred nineteen million, eight thousand, nine hundred nineteen".