10584315827 has 2 divisors, whose sum is σ = 10584315828. Its totient is φ = 10584315826.

The previous prime is 10584315809. The next prime is 10584315871. The reversal of 10584315827 is 72851348501.

It is an a-pointer prime, because the next prime (10584315871) can be obtained adding 10584315827 to its sum of digits (44).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10584315827 - 2¹⁰ = 10584314803 is a prime.

It is a super-2 number, since 2×10584315827² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10584315887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292157913 + 5292157914.

It is an arithmetic number, because the mean of its divisors is an integer number (5292157914).

Almost surely, 2^10584315827 is an apocalyptic number.

10584315827 is a deficient number, since it is larger than the sum of its proper divisors (1).

10584315827 is an equidigital number, since it uses as much as digits as its factorization.

10584315827 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 268800, while the sum is 44.

The spelling of 10584315827 in words is "ten billion, five hundred eighty-four million, three hundred fifteen thousand, eight hundred twenty-seven".