11521075621441 has 27 divisors (see below), whose sum is σ = 12795375936553. Its totient is φ = 10370719842560.

The previous prime is 11521075621439. The next prime is 11521075621481. The reversal of 11521075621441 is 14412657012511.

The square root of 11521075621441 is 3394271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4199159164225 + 7321916457216 = 2049185^2 + 2705904^2 .

It is not a de Polignac number, because 11521075621441 - 2¹ = 11521075621439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11521075621394 and 11521075621403.

It is not an unprimeable number, because it can be changed into a prime (11521075621481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1327155621 + ... + 1327164301.

Almost surely, 2^{11521075621441} is an apocalyptic number.

11521075621441 is the 3394271-st square number.

11521075621441 is the 1697136-th centered octagonal number.

It is an amenable number.

11521075621441 is a deficient number, since it is larger than the sum of its proper divisors (1274300315112).

11521075621441 is an frugal number, since it uses more digits than its factorization.

11521075621441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17442 (or 8721 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 11521075621441 in words is "eleven trillion, five hundred twenty-one billion, seventy-five million, six hundred twenty-one thousand, four hundred forty-one".