10005800341 has 2 divisors, whose sum is σ = 10005800342. Its totient is φ = 10005800340.

The previous prime is 10005800339. The next prime is 10005800471. The reversal of 10005800341 is 14300850001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9929325316 + 76475025 = 99646^2 + 8745^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005800341 - 2¹ = 10005800339 is a prime.

It is a super-3 number, since 3×10005800341³ (a number of 31 digits) contains 333 as substring.

Together with 10005800339, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005800141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002900170 + 5002900171.

It is an arithmetic number, because the mean of its divisors is an integer number (5002900171).

Almost surely, 2^10005800341 is an apocalyptic number.

It is an amenable number.

10005800341 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005800341 is an equidigital number, since it uses as much as digits as its factorization.

10005800341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

The spelling of 10005800341 in words is "ten billion, five million, eight hundred thousand, three hundred forty-one".