11300753025 has 81 divisors (see below), whose sum is σ = 21419709129. Its totient is φ = 5694546240.

The previous prime is 11300752993. The next prime is 11300753041. The reversal of 11300753025 is 52035700311.

The square root of 11300753025 is 106305.

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

It can be written as a sum of positive squares in 4 ways, for example, as 108805761 + 11191947264 = 10431^2 + 105792^2 .

It is not a de Polignac number, because 11300753025 - 2⁵ = 11300752993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11300753025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30296739 + ... + 30297111.

Almost surely, 2^11300753025 is an apocalyptic number.

11300753025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11300753025 is the 106305-th square number.

11300753025 is the 53153-rd centered octagonal number.

It is an amenable number.

11300753025 is a deficient number, since it is larger than the sum of its proper divisors (10118956104).

11300753025 is an equidigital number, since it uses as much as digits as its factorization.

11300753025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 11300753025 in words is "eleven billion, three hundred million, seven hundred fifty-three thousand, twenty-five".