10164580523 has 2 divisors, whose sum is σ = 10164580524. Its totient is φ = 10164580522.

The previous prime is 10164580457. The next prime is 10164580561. The reversal of 10164580523 is 32508546101.

10164580523 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10164580523 - 2¹⁸ = 10164318379 is a prime.

It is not a weakly prime, because it can be changed into another prime (10164510523) 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, 5082290261 + 5082290262.

It is an arithmetic number, because the mean of its divisors is an integer number (5082290262).

Almost surely, 2^10164580523 is an apocalyptic number.

10164580523 is a deficient number, since it is larger than the sum of its proper divisors (1).

10164580523 is an equidigital number, since it uses as much as digits as its factorization.

10164580523 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 10164580523 in words is "ten billion, one hundred sixty-four million, five hundred eighty thousand, five hundred twenty-three".