4004963505 has 12 divisors (see below), whose sum is σ = 6941936820. Its totient is φ = 2135980512.

The previous prime is 4004963491. The next prime is 4004963533. The reversal of 4004963505 is 5053694004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2318711409 + 1686252096 = 48153^2 + 41064^2 .

It is not a de Polignac number, because 4004963505 - 2¹³ = 4004955313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4004963505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44499550 + ... + 44499639.

It is an arithmetic number, because the mean of its divisors is an integer number (578494735).

Almost surely, 2^4004963505 is an apocalyptic number.

4004963505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4004963505 is a deficient number, since it is larger than the sum of its proper divisors (2936973315).

4004963505 is a wasteful number, since it uses less digits than its factorization.

4004963505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88999200 (or 88999197 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 4004963505 is about 63284.7809903771. The cubic root of 4004963505 is about 1588.0573699947.

The spelling of 4004963505 in words is "four billion, four million, nine hundred sixty-three thousand, five hundred five".