11415051125201 has 8 divisors (see below), whose sum is σ = 11630654597160. Its totient is φ = 11199455992192.

The previous prime is 11415051125167. The next prime is 11415051125273. The reversal of 11415051125201 is 10252115051411.

It can be written as a sum of positive squares in 4 ways, for example, as 6791157820225 + 4623893304976 = 2605985^2 + 2150324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11415051125201 - 2¹⁰ = 11415051124177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11415051125281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714035 + ... + 4831143.

It is an arithmetic number, because the mean of its divisors is an integer number (1453831824645).

Almost surely, 2^{11415051125201} is an apocalyptic number.

It is an amenable number.

11415051125201 is a deficient number, since it is larger than the sum of its proper divisors (215603471959).

11415051125201 is an equidigital number, since it uses as much as digits as its factorization.

11415051125201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169475.

The product of its (nonzero) digits is 2000, while the sum is 29.

Adding to 11415051125201 its reverse (10252115051411), we get a palindrome (21667166176612).

The spelling of 11415051125201 in words is "eleven trillion, four hundred fifteen billion, fifty-one million, one hundred twenty-five thousand, two hundred one".