11205511331125 has 8 divisors (see below), whose sum is σ = 13984478141400. Its totient is φ = 8964409064800.

The previous prime is 11205511331123. The next prime is 11205511331129. The reversal of 11205511331125 is 52113311550211.

It can be written as a sum of positive squares in 4 ways, for example, as 62259232324 + 11143252098801 = 249518^2 + 3338151^2 .

It is not a de Polignac number, because 11205511331125 - 2¹ = 11205511331123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205511331123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44822045200 + ... + 44822045449.

It is an arithmetic number, because the mean of its divisors is an integer number (1748059767675).

Almost surely, 2^{11205511331125} is an apocalyptic number.

It is an amenable number.

11205511331125 is a deficient number, since it is larger than the sum of its proper divisors (2778966810275).

11205511331125 is an frugal number, since it uses more digits than its factorization.

11205511331125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89644090664 (or 89644090654 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 31.

Adding to 11205511331125 its reverse (52113311550211), we get a palindrome (63318822881336).

The spelling of 11205511331125 in words is "eleven trillion, two hundred five billion, five hundred eleven million, three hundred thirty-one thousand, one hundred twenty-five".