11201563513 has 12 divisors (see below), whose sum is σ = 13054506852. Its totient is φ = 9583570080.

The previous prime is 11201563453. The next prime is 11201563543. The reversal of 11201563513 is 31536510211.

It can be written as a sum of positive squares in 2 ways, for example, as 1794115449 + 9407448064 = 42357^2 + 96992^2 .

It is not a de Polignac number, because 11201563513 - 2⁹ = 11201563001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11201563543) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 184770 + ... + 237787.

It is an arithmetic number, because the mean of its divisors is an integer number (1087875571).

Almost surely, 2^11201563513 is an apocalyptic number.

It is an amenable number.

11201563513 is a deficient number, since it is larger than the sum of its proper divisors (1852943339).

11201563513 is an equidigital number, since it uses as much as digits as its factorization.

11201563513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423112 (or 423105 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

It can be divided in two parts, 112015 and 63513, that added together give a triangular number (175528 = T₅₉₂).

The spelling of 11201563513 in words is "eleven billion, two hundred one million, five hundred sixty-three thousand, five hundred thirteen".