11521315404001 has 24 divisors (see below), whose sum is σ = 13098568337280. Its totient is φ = 10115075146176.

The previous prime is 11521315403999. The next prime is 11521315404017. The reversal of 11521315404001 is 10040451312511.

It is a happy number.

It is not a de Polignac number, because 11521315404001 - 2¹ = 11521315403999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11521315402001) 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 23 ways as a sum of consecutive naturals, for example, 17214985 + ... + 17871718.

It is an arithmetic number, because the mean of its divisors is an integer number (545773680720).

Almost surely, 2^{11521315404001} is an apocalyptic number.

It is an amenable number.

11521315404001 is a deficient number, since it is larger than the sum of its proper divisors (1577252933279).

11521315404001 is a wasteful number, since it uses less digits than its factorization.

11521315404001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35086825 (or 35086812 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 11521315404001 its reverse (10040451312511), we get a palindrome (21561766716512).

The spelling of 11521315404001 in words is "eleven trillion, five hundred twenty-one billion, three hundred fifteen million, four hundred four thousand, one".