83435305352 has 64 divisors (see below), whose sum is σ = 179523872640. Its totient is φ = 35611430400.

The previous prime is 83435305319. The next prime is 83435305367. The reversal of 83435305352 is 25350353438.

It is a super-2 number, since 2×83435305352² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30549827 + ... + 30552557.

It is an arithmetic number, because the mean of its divisors is an integer number (2805060510).

Almost surely, 2^83435305352 is an apocalyptic number.

It is an amenable number.

83435305352 is an abundant number, since it is smaller than the sum of its proper divisors (96088567288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83435305352 is a wasteful number, since it uses less digits than its factorization.

83435305352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4778 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 41.

The spelling of 83435305352 in words is "eighty-three billion, four hundred thirty-five million, three hundred five thousand, three hundred fifty-two".