11053663337025 has 81 divisors (see below), whose sum is σ = 20507265143209. Its totient is φ = 5691256616640.

The previous prime is 11053663336999. The next prime is 11053663337047. The reversal of 11053663337025 is 52073336635011.

The square root of 11053663337025 is 3324705.

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

11053663337025 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 3 + 6 + 633 + 3 + 7 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 151938582849 + 10901724754176 = 389793^2 + 3301776^2 .

It is not a de Polignac number, because 11053663337025 - 2¹¹ = 11053663334977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1446242854 + ... + 1446250496.

Almost surely, 2^{11053663337025} is an apocalyptic number.

11053663337025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11053663337025 is the 3324705-th square number.

11053663337025 is the 1662353-rd centered octagonal number.

It is an amenable number.

11053663337025 is a deficient number, since it is larger than the sum of its proper divisors (9453601806184).

11053663337025 is an frugal number, since it uses more digits than its factorization.

11053663337025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15360 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 11053663337025 in words is "eleven trillion, fifty-three billion, six hundred sixty-three million, three hundred thirty-seven thousand, twenty-five".