8258258250001 has 2 divisors, whose sum is σ = 8258258250002. Its totient is φ = 8258258250000.

The previous prime is 8258258249999. The next prime is 8258258250023. The reversal of 8258258250001 is 1000528528528.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7191386168976 + 1066872081025 = 2681676^2 + 1032895^2 .

It is a cyclic number.

It is not a de Polignac number, because 8258258250001 - 2¹ = 8258258249999 is a prime.

Together with 8258258249999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (8258258250101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4129129125000 + 4129129125001.

It is an arithmetic number, because the mean of its divisors is an integer number (4129129125001).

Almost surely, 2^{8258258250001} is an apocalyptic number.

It is an amenable number.

8258258250001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8258258250001 is an equidigital number, since it uses as much as digits as its factorization.

8258258250001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512000, while the sum is 46.

The spelling of 8258258250001 in words is "eight trillion, two hundred fifty-eight billion, two hundred fifty-eight million, two hundred fifty thousand, one".