2504135305 has 32 divisors (see below), whose sum is σ = 3619123200. Its totient is φ = 1624888512.

The previous prime is 2504135287. The next prime is 2504135351. The reversal of 2504135305 is 5035314052.

It is not a de Polignac number, because 2504135305 - 2⁷ = 2504135177 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811756 + ... + 814834.

It is an arithmetic number, because the mean of its divisors is an integer number (113097600).

Almost surely, 2^2504135305 is an apocalyptic number.

It is an amenable number.

2504135305 is a deficient number, since it is larger than the sum of its proper divisors (1114987895).

2504135305 is a wasteful number, since it uses less digits than its factorization.

2504135305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333.

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 2504135305 is about 50041.3359633813. The cubic root of 2504135305 is about 1357.9567257162.

Adding to 2504135305 its reverse (5035314052), we get a palindrome (7539449357).

The spelling of 2504135305 in words is "two billion, five hundred four million, one hundred thirty-five thousand, three hundred five".