10000008625001 has 2 divisors, whose sum is σ = 10000008625002. Its totient is φ = 10000008625000.

The previous prime is 10000008624989. The next prime is 10000008625021. The reversal of 10000008625001 is 10052680000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9996353213401 + 3655411600 = 3161701^2 + 60460^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000008625001 - 2³⁸ = 9725130718057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000008625021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000004312500 + 5000004312501.

It is an arithmetic number, because the mean of its divisors is an integer number (5000004312501).

Almost surely, 2^{10000008625001} is an apocalyptic number.

It is an amenable number.

10000008625001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000008625001 is an equidigital number, since it uses as much as digits as its factorization.

10000008625001 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 23.

Adding to 10000008625001 its reverse (10052680000001), we get a palindrome (20052688625002).

The spelling of 10000008625001 in words is "ten trillion, eight million, six hundred twenty-five thousand, one".