10225580536961 has 2 divisors, whose sum is σ = 10225580536962. Its totient is φ = 10225580536960.

The previous prime is 10225580536949. The next prime is 10225580536991. The reversal of 10225580536961 is 16963508552201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10211098821361 + 14481715600 = 3195481^2 + 120340^2 .

It is a cyclic number.

It is not a de Polignac number, because 10225580536961 - 2³⁰ = 10224506795137 is a prime.

It is a super-2 number, since 2×10225580536961² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10225580536991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5112790268480 + 5112790268481.

It is an arithmetic number, because the mean of its divisors is an integer number (5112790268481).

Almost surely, 2^{10225580536961} is an apocalyptic number.

It is an amenable number.

10225580536961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10225580536961 is an equidigital number, since it uses as much as digits as its factorization.

10225580536961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888000, while the sum is 53.

The spelling of 10225580536961 in words is "ten trillion, two hundred twenty-five billion, five hundred eighty million, five hundred thirty-six thousand, nine hundred sixty-one".