10564403727431 has 2 divisors, whose sum is σ = 10564403727432. Its totient is φ = 10564403727430.

The previous prime is 10564403727379. The next prime is 10564403727457. The reversal of 10564403727431 is 13472730446501.

It is a strong prime.

It is an emirp because it is prime and its reverse (13472730446501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10564403727431 - 2¹⁰ = 10564403726407 is a prime.

It is a super-3 number, since 3×10564403727431³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10564403727461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5282201863715 + 5282201863716.

It is an arithmetic number, because the mean of its divisors is an integer number (5282201863716).

Almost surely, 2^{10564403727431} is an apocalyptic number.

10564403727431 is a deficient number, since it is larger than the sum of its proper divisors (1).

10564403727431 is an equidigital number, since it uses as much as digits as its factorization.

10564403727431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 10564403727431 in words is "ten trillion, five hundred sixty-four billion, four hundred three million, seven hundred twenty-seven thousand, four hundred thirty-one".