11525440221261 has 32 divisors (see below), whose sum is σ = 17309221008000. Its totient is φ = 7578111406464.

The previous prime is 11525440221259. The next prime is 11525440221289. The reversal of 11525440221261 is 16212204452511.

11525440221261 is a `hidden beast` number, since 1 + 1 + 52 + 544 + 0 + 2 + 2 + 1 + 2 + 61 = 666.

It is not a de Polignac number, because 11525440221261 - 2¹ = 11525440221259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11525440221221) 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 31 ways as a sum of consecutive naturals, for example, 69570435 + ... + 69735903.

It is an arithmetic number, because the mean of its divisors is an integer number (540913156500).

Almost surely, 2^{11525440221261} is an apocalyptic number.

It is an amenable number.

11525440221261 is a deficient number, since it is larger than the sum of its proper divisors (5783780786739).

11525440221261 is a wasteful number, since it uses less digits than its factorization.

11525440221261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200890 (or 200884 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 11525440221261 its reverse (16212204452511), we get a palindrome (27737644673772).

The spelling of 11525440221261 in words is "eleven trillion, five hundred twenty-five billion, four hundred forty million, two hundred twenty-one thousand, two hundred sixty-one".