829252217121 has 8 divisors (see below), whose sum is σ = 1122172154784. Its totient is φ = 544583545440.

The previous prime is 829252217099. The next prime is 829252217177. The reversal of 829252217121 is 121712252928.

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

It is not a de Polignac number, because 829252217121 - 2²² = 829248022817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (829252217191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2062816260 + ... + 2062816661.

It is an arithmetic number, because the mean of its divisors is an integer number (140271519348).

Almost surely, 2^829252217121 is an apocalyptic number.

It is an amenable number.

829252217121 is a deficient number, since it is larger than the sum of its proper divisors (292919937663).

829252217121 is a wasteful number, since it uses less digits than its factorization.

829252217121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125632991.

The product of its digits is 80640, while the sum is 42.

The spelling of 829252217121 in words is "eight hundred twenty-nine billion, two hundred fifty-two million, two hundred seventeen thousand, one hundred twenty-one".