8083507608801 has 27 divisors (see below), whose sum is σ = 11878172707089. Its totient is φ = 5297336197992.

The previous prime is 8083507608779. The next prime is 8083507608823. The reversal of 8083507608801 is 1088067053808.

It is a happy number.

The square root of 8083507608801 is 2843151.

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

It is an interprime number because it is at equal distance from previous prime (8083507608779) and next prime (8083507608823).

It is not a de Polignac number, because 8083507608801 - 2²⁷ = 8083373391073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8083507608301) 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 in 26 ways as a sum of consecutive naturals, for example, 503229696 + ... + 503245758.

Almost surely, 2^{8083507608801} is an apocalyptic number.

8083507608801 is the 2843151-st square number.

8083507608801 is the 1421576-th centered octagonal number.

It is an amenable number.

8083507608801 is a deficient number, since it is larger than the sum of its proper divisors (3794665098288).

8083507608801 is an frugal number, since it uses more digits than its factorization.

8083507608801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32250 (or 16125 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 8083507608801 in words is "eight trillion, eighty-three billion, five hundred seven million, six hundred eight thousand, eight hundred one".