83201230521217 has 8 divisors (see below), whose sum is σ = 83945701234656. Its totient is φ = 82456903257792.

The previous prime is 83201230521139. The next prime is 83201230521251. The reversal of 83201230521217 is 71212503210238.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83201230521217 - 2²⁷ = 83201096303489 is a prime.

It is a super-3 number, since 3×83201230521217³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83201230591217) 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 7 ways as a sum of consecutive naturals, for example, 34697143 + ... + 37017484.

It is an arithmetic number, because the mean of its divisors is an integer number (10493212654332).

Almost surely, 2^{83201230521217} is an apocalyptic number.

It is an amenable number.

83201230521217 is a deficient number, since it is larger than the sum of its proper divisors (744470713439).

83201230521217 is a wasteful number, since it uses less digits than its factorization.

83201230521217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71725007.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 83201230521217 in words is "eighty-three trillion, two hundred one billion, two hundred thirty million, five hundred twenty-one thousand, two hundred seventeen".