10646520545321 has 2 divisors, whose sum is σ = 10646520545322. Its totient is φ = 10646520545320.

The previous prime is 10646520545291. The next prime is 10646520545341. The reversal of 10646520545321 is 12354502564601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6771965290000 + 3874555255321 = 2602300^2 + 1968389^2 .

It is a cyclic number.

It is not a de Polignac number, because 10646520545321 - 2²⁶ = 10646453436457 is a prime.

It is a super-3 number, since 3×10646520545321³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10646520545341) 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 as a sum of consecutive naturals, namely, 5323260272660 + 5323260272661.

It is an arithmetic number, because the mean of its divisors is an integer number (5323260272661).

Almost surely, 2^{10646520545321} is an apocalyptic number.

It is an amenable number.

10646520545321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10646520545321 is an equidigital number, since it uses as much as digits as its factorization.

10646520545321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 10646520545321 in words is "ten trillion, six hundred forty-six billion, five hundred twenty million, five hundred forty-five thousand, three hundred twenty-one".