2504005353 has 32 divisors (see below), whose sum is σ = 3756771200. Its totient is φ = 1648263168.

The previous prime is 2504005297. The next prime is 2504005363. The reversal of 2504005353 is 3535004052.

2504005353 is a `hidden beast` number, since 250 + 400 + 5 + 3 + 5 + 3 = 666.

It is not a de Polignac number, because 2504005353 - 2¹³ = 2503997161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2504005363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722601 + ... + 726057.

It is an arithmetic number, because the mean of its divisors is an integer number (117399100).

Almost surely, 2^2504005353 is an apocalyptic number.

It is an amenable number.

2504005353 is a deficient number, since it is larger than the sum of its proper divisors (1252765847).

2504005353 is a wasteful number, since it uses less digits than its factorization.

2504005353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 2504005353 is about 50040.0374999859. The cubic root of 2504005353 is about 1357.9332349401.

The spelling of 2504005353 in words is "two billion, five hundred four million, five thousand, three hundred fifty-three".