10580429 has 2 divisors, whose sum is σ = 10580430. Its totient is φ = 10580428.

The previous prime is 10580413. The next prime is 10580431. The reversal of 10580429 is 92408501.

10580429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6620329 + 3960100 = 2573^2 + 1990^2 .

It is an emirp because it is prime and its reverse (92408501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10580429 - 2⁴ = 10580413 is a prime.

It is a super-2 number, since 2×10580429² = 223890955648082, which contains 22 as substring.

Together with 10580431, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10580489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5290214 + 5290215.

It is an arithmetic number, because the mean of its divisors is an integer number (5290215).

Almost surely, 2^10580429 is an apocalyptic number.

It is an amenable number.

10580429 is a deficient number, since it is larger than the sum of its proper divisors (1).

10580429 is an equidigital number, since it uses as much as digits as its factorization.

10580429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 10580429 is about 3252.7571381829. The cubic root of 10580429 is about 219.5336471165.

The spelling of 10580429 in words is "ten million, five hundred eighty thousand, four hundred twenty-nine".