8259008074801 has 27 divisors (see below), whose sum is σ = 9149628227467. Its totient is φ = 7449476423840.

The previous prime is 8259008074787. The next prime is 8259008074841. The reversal of 8259008074801 is 1084708009528.

It is a happy number.

The square root of 8259008074801 is 2873849.

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

It can be written as a sum of positive squares in only one way, i.e., 4851380682225 + 3407627392576 = 2202585^2 + 1845976^2 .

It is not a de Polignac number, because 8259008074801 - 2¹³ = 8259008066609 is a prime.

It is a super-2 number, since 2×8259008074801² (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 (8259008074841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4330889490 + ... + 4330891396.

Almost surely, 2^{8259008074801} is an apocalyptic number.

8259008074801 is the 2873849-th square number.

8259008074801 is the 1436925-th centered octagonal number.

It is an amenable number.

8259008074801 is a deficient number, since it is larger than the sum of its proper divisors (890620152666).

8259008074801 is an frugal number, since it uses more digits than its factorization.

8259008074801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 52.

The spelling of 8259008074801 in words is "eight trillion, two hundred fifty-nine billion, eight million, seventy-four thousand, eight hundred one".