4053008385 has 24 divisors (see below), whose sum is σ = 7027486440. Its totient is φ = 2160905472.

The previous prime is 4053008359. The next prime is 4053008413. The reversal of 4053008385 is 5838003504.

4053008385 is a `hidden beast` number, since 40 + 530 + 0 + 8 + 3 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2821840641 + 1231167744 = 53121^2 + 35088^2 .

It is not a de Polignac number, because 4053008385 - 2⁶ = 4053008321 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145461 + ... + 171069.

It is an arithmetic number, because the mean of its divisors is an integer number (292811935).

It is a Proth number, since it is equal to 15461 ⋅ 2¹⁸ + 1 and 15461 < 2¹⁸.

Almost surely, 2^4053008385 is an apocalyptic number.

4053008385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4053008385 is a deficient number, since it is larger than the sum of its proper divisors (2974478055).

4053008385 is a wasteful number, since it uses less digits than its factorization.

4053008385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29137 (or 29134 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4053008385 is about 63663.2420239497. The cubic root of 4053008385 is about 1594.3824333869.

The spelling of 4053008385 in words is "four billion, fifty-three million, eight thousand, three hundred eighty-five".