8244082305001 has 27 divisors (see below), whose sum is σ = 8907288070653. Its totient is φ = 7629373307160.

The previous prime is 8244082304947. The next prime is 8244082305023. The reversal of 8244082305001 is 1005032804428.

It is a happy number.

The square root of 8244082305001 is 2871251.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 8244082305001 - 2⁹ = 8244082304489 is a prime.

It is a super-2 number, since 2×8244082305001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8244082305401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2047199950 + ... + 2047203976.

Almost surely, 2^{8244082305001} is an apocalyptic number.

8244082305001 is the 2871251-st square number.

8244082305001 is the 1435626-th centered octagonal number.

It is an amenable number.

8244082305001 is a deficient number, since it is larger than the sum of its proper divisors (663205765652).

8244082305001 is an frugal number, since it uses more digits than its factorization.

8244082305001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8162 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 8244082305001 in words is "eight trillion, two hundred forty-four billion, eighty-two million, three hundred five thousand, one".