1005153416819 has 2 divisors, whose sum is σ = 1005153416820. Its totient is φ = 1005153416818.

The previous prime is 1005153416753. The next prime is 1005153416881. The reversal of 1005153416819 is 9186143515001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005153416819 - 2²⁰ = 1005152368243 is a prime.

It is a super-2 number, since 2×1005153416819² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005153416819.

It is not a weakly prime, because it can be changed into another prime (1005153416719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502576708409 + 502576708410.

It is an arithmetic number, because the mean of its divisors is an integer number (502576708410).

Almost surely, 2^{1005153416819} is an apocalyptic number.

1005153416819 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005153416819 is an equidigital number, since it uses as much as digits as its factorization.

1005153416819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 44.

The spelling of 1005153416819 in words is "one trillion, five billion, one hundred fifty-three million, four hundred sixteen thousand, eight hundred nineteen".