11275620010561 has 9 divisors (see below), whose sum is σ = 11309376923299. Its totient is φ = 11241963588424.

The previous prime is 11275620010547. The next prime is 11275620010609. The reversal of 11275620010561 is 16501002657211.

The square root of 11275620010561 is 3357919.

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

It can be written as a sum of positive squares in only one way, i.e., 7696546290225 + 3579073720336 = 2774265^2 + 1891844^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11275620010561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11275620010561.

It is not an unprimeable number, because it can be changed into a prime (11275620010261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1165193055 + ... + 1165202731.

Almost surely, 2^{11275620010561} is an apocalyptic number.

11275620010561 is the 3357919-th square number.

11275620010561 is the 1678960-th centered octagonal number.

It is an amenable number.

11275620010561 is a deficient number, since it is larger than the sum of its proper divisors (33756912738).

11275620010561 is an frugal number, since it uses more digits than its factorization.

11275620010561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20048 (or 10024 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

Adding to 11275620010561 its reverse (16501002657211), we get a palindrome (27776622667772).

The spelling of 11275620010561 in words is "eleven trillion, two hundred seventy-five billion, six hundred twenty million, ten thousand, five hundred sixty-one".