2511953813 has 16 divisors (see below), whose sum is σ = 2763072000. Its totient is φ = 2273010432.

The previous prime is 2511953797. The next prime is 2511953819. The reversal of 2511953813 is 3183591152.

It is not a de Polignac number, because 2511953813 - 2⁴ = 2511953797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2511953819) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 107168 + ... + 128486.

It is an arithmetic number, because the mean of its divisors is an integer number (172692000).

Almost surely, 2^2511953813 is an apocalyptic number.

It is an amenable number.

2511953813 is a deficient number, since it is larger than the sum of its proper divisors (251118187).

2511953813 is a wasteful number, since it uses less digits than its factorization.

2511953813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21604.

The product of its digits is 32400, while the sum is 38.

The square root of 2511953813 is about 50119.3955769620. The cubic root of 2511953813 is about 1359.3685457063.

The spelling of 2511953813 in words is "two billion, five hundred eleven million, nine hundred fifty-three thousand, eight hundred thirteen".