11506125244305 has 16 divisors (see below), whose sum is σ = 18711600398784. Its totient is φ = 6036000127680.

The previous prime is 11506125244303. The next prime is 11506125244349. The reversal of 11506125244305 is 50344252160511.

It is not a de Polignac number, because 11506125244305 - 2¹ = 11506125244303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11506125244303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6287499219 + ... + 6287501048.

It is an arithmetic number, because the mean of its divisors is an integer number (1169475024924).

Almost surely, 2^{11506125244305} is an apocalyptic number.

11506125244305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11506125244305 is a deficient number, since it is larger than the sum of its proper divisors (7205475154479).

11506125244305 is a wasteful number, since it uses less digits than its factorization.

11506125244305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12575000336.

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 11506125244305 in words is "eleven trillion, five hundred six billion, one hundred twenty-five million, two hundred forty-four thousand, three hundred five".