13251693456 has 135 divisors (see below), whose sum is σ = 38009271027. Its totient is φ = 4309943040.

The previous prime is 13251693419. The next prime is 13251693467. The reversal of 13251693456 is 65439615231.

The square root of 13251693456 is 115116.

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

13251693456 is a `hidden beast` number, since 1 + 3 + 2 + 516 + 93 + 45 + 6 = 666.

13251693456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2522048400 + 10729645056 = 50220^2 + 103584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73213686 + ... + 73213866.

Almost surely, 2^13251693456 is an apocalyptic number.

13251693456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13251693456 is the 115116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13251693456

13251693456 is an abundant number, since it is smaller than the sum of its proper divisors (24757577571).

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

13251693456 is an equidigital number, since it uses as much as digits as its factorization.

13251693456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 239 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 13251693456 in words is "thirteen billion, two hundred fifty-one million, six hundred ninety-three thousand, four hundred fifty-six".