805217363352 has 96 divisors (see below), whose sum is σ = 2310445846800. Its totient is φ = 252467699712.

The previous prime is 805217363341. The next prime is 805217363359. The reversal of 805217363352 is 253363712508.

805217363352 is a `hidden beast` number, since 8 + 0 + 5 + 2 + 1 + 7 + 3 + 633 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 805217363298 and 805217363307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805217363359) 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 23 ways as a sum of consecutive naturals, for example, 1883299 + ... + 2270957.

Almost surely, 2^805217363352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805217363352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155222923400).

805217363352 is an abundant number, since it is smaller than the sum of its proper divisors (1505228483448).

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

805217363352 is a wasteful number, since it uses less digits than its factorization.

805217363352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389385 (or 389378 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 805217363352 in words is "eight hundred five billion, two hundred seventeen million, three hundred sixty-three thousand, three hundred fifty-two".