10005800471 has 2 divisors, whose sum is σ = 10005800472. Its totient is φ = 10005800470.

The previous prime is 10005800341. The next prime is 10005800473. The reversal of 10005800471 is 17400850001.

It is a strong prime.

It is an emirp because it is prime and its reverse (17400850001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10005800471 is a prime.

It is a super-3 number, since 3×10005800471³ (a number of 31 digits) contains 333 as substring.

Together with 10005800473, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10005800471.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005800473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002900235 + 5002900236.

It is an arithmetic number, because the mean of its divisors is an integer number (5002900236).

Almost surely, 2^10005800471 is an apocalyptic number.

10005800471 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005800471 is an equidigital number, since it uses as much as digits as its factorization.

10005800471 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 26.

The spelling of 10005800471 in words is "ten billion, five million, eight hundred thousand, four hundred seventy-one".