13053653384256 has 189 divisors, whose sum is σ = 38240901398791. Its totient is φ = 4257309114624.

The previous prime is 13053653384201. The next prime is 13053653384273. The reversal of 13053653384256 is 65248335635031.

The square root of 13053653384256 is 3612984.

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

13053653384256 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 3 + 6 + 5 + 3 + 384 + 256 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4075444351 + ... + 4075447553.

Almost surely, 2^{13053653384256} is an apocalyptic number.

13053653384256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13053653384256 is the 3612984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13053653384256

13053653384256 is an abundant number, since it is smaller than the sum of its proper divisors (25187248014535).

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

13053653384256 is an frugal number, since it uses more digits than its factorization.

13053653384256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 13053653384256 in words is "thirteen trillion, fifty-three billion, six hundred fifty-three million, three hundred eighty-four thousand, two hundred fifty-six".