4000505819 has 2 divisors, whose sum is σ = 4000505820. Its totient is φ = 4000505818.

The previous prime is 4000505687. The next prime is 4000505827. The reversal of 4000505819 is 9185050004.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4000505819 is a prime.

It is a super-2 number, since 2×4000505819² = 32008093615705721522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4000505219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000252909 + 2000252910.

It is an arithmetic number, because the mean of its divisors is an integer number (2000252910).

Almost surely, 2^4000505819 is an apocalyptic number.

4000505819 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000505819 is an equidigital number, since it uses as much as digits as its factorization.

4000505819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 4000505819 is about 63249.5519272666. The cubic root of 4000505819 is about 1587.4679606157.

The spelling of 4000505819 in words is "four billion, five hundred five thousand, eight hundred nineteen".