11553575602561 has 8 divisors (see below), whose sum is σ = 11958919597800. Its totient is φ = 11148694596480.

The previous prime is 11553575602537. The next prime is 11553575602579. The reversal of 11553575602561 is 16520657535511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4910744640400 + 6642830962161 = 2216020^2 + 2577369^2 .

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 11553575602561 - 2¹⁷ = 11553575471489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11553575602499 and 11553575602508.

It is not an unprimeable number, because it can be changed into a prime (11553575602661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115696506 + ... + 115796323.

It is an arithmetic number, because the mean of its divisors is an integer number (1494864949725).

Almost surely, 2^{11553575602561} is an apocalyptic number.

It is an amenable number.

11553575602561 is a deficient number, since it is larger than the sum of its proper divisors (405343995239).

11553575602561 is a wasteful number, since it uses less digits than its factorization.

11553575602561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231494579.

The product of its (nonzero) digits is 4725000, while the sum is 52.

The spelling of 11553575602561 in words is "eleven trillion, five hundred fifty-three billion, five hundred seventy-five million, six hundred two thousand, five hundred sixty-one".