10580971 has 2 divisors, whose sum is σ = 10580972. Its totient is φ = 10580970.

The previous prime is 10580959. The next prime is 10581031. The reversal of 10580971 is 17908501.

10580971 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10580971 - 2¹¹ = 10578923 is a prime.

It is a super-2 number, since 2×10580971² = 223913894605682, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10580071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5290485 + 5290486.

It is an arithmetic number, because the mean of its divisors is an integer number (5290486).

Almost surely, 2^10580971 is an apocalyptic number.

10580971 is a deficient number, since it is larger than the sum of its proper divisors (1).

10580971 is an equidigital number, since it uses as much as digits as its factorization.

10580971 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 31.

The square root of 10580971 is about 3252.8404510520. The cubic root of 10580971 is about 219.5373957107.

The spelling of 10580971 in words is "ten million, five hundred eighty thousand, nine hundred seventy-one".