2511613456 has 135 divisors (see below), whose sum is σ = 5768072877. Its totient is φ = 1058449920.

The previous prime is 2511613453. The next prime is 2511613463. The reversal of 2511613456 is 6543161152.

The square root of 2511613456 is 50116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1955408400 + 556205056 = 44220^2 + 23584^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2511613453) 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 26 ways as a sum of consecutive naturals, for example, 37486735 + ... + 37486801.

Almost surely, 2^2511613456 is an apocalyptic number.

2511613456 is the 50116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2511613456

2511613456 is an abundant number, since it is smaller than the sum of its proper divisors (3256459421).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2511613456 is a wasteful number, since it uses less digits than its factorization.

2511613456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 97 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The cubic root of 2511613456 is about 1359.3071470856.

The spelling of 2511613456 in words is "two billion, five hundred eleven million, six hundred thirteen thousand, four hundred fifty-six".