7247581206561 has 24 divisors (see below), whose sum is σ = 10480391424360. Its totient is φ = 4826340691200.

The previous prime is 7247581206517. The next prime is 7247581206637. The reversal of 7247581206561 is 1656021857427.

It is a happy number.

7247581206561 is a `hidden beast` number, since 7 + 2 + 4 + 7 + 58 + 1 + 20 + 6 + 561 = 666.

7247581206561 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 716975401536 + 6530605805025 = 846744^2 + 2555505^2 .

It is not a de Polignac number, because 7247581206561 - 2²¹ = 7247579109409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7247581206498 and 7247581206507.

It is not an unprimeable number, because it can be changed into a prime (7247581206361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31278271 + ... + 31509131.

It is an arithmetic number, because the mean of its divisors is an integer number (436682976015).

Almost surely, 2^{7247581206561} is an apocalyptic number.

It is an amenable number.

7247581206561 is a deficient number, since it is larger than the sum of its proper divisors (3232810217799).

7247581206561 is a wasteful number, since it uses less digits than its factorization.

7247581206561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234737 (or 234734 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 7247581206561 in words is "seven trillion, two hundred forty-seven billion, five hundred eighty-one million, two hundred six thousand, five hundred sixty-one".