10005825001 has 2 divisors, whose sum is σ = 10005825002. Its totient is φ = 10005825000.

The previous prime is 10005824999. The next prime is 10005825007. The reversal of 10005825001 is 10052850001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9939890601 + 65934400 = 99699^2 + 8120^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005825001 - 2¹ = 10005824999 is a prime.

Together with 10005824999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10005825007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002912500 + 5002912501.

It is an arithmetic number, because the mean of its divisors is an integer number (5002912501).

Almost surely, 2^10005825001 is an apocalyptic number.

It is an amenable number.

10005825001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005825001 is an equidigital number, since it uses as much as digits as its factorization.

10005825001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 400, while the sum is 22.

The spelling of 10005825001 in words is "ten billion, five million, eight hundred twenty-five thousand, one".