8225001823833 has 36 divisors (see below), whose sum is σ = 12343384320228. Its totient is φ = 5480441791200.

The previous prime is 8225001823811. The next prime is 8225001823837. The reversal of 8225001823833 is 3383281005228.

8225001823833 is a `hidden beast` number, since 8 + 2 + 2 + 500 + 1 + 82 + 38 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2488938503769 + 5736063320064 = 1577637^2 + 2395008^2 .

It is not a de Polignac number, because 8225001823833 - 2¹² = 8225001819737 is a prime.

It is a super-4 number, since 4×8225001823833⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (8225001823837) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12142735 + ... + 12802187.

It is an arithmetic number, because the mean of its divisors is an integer number (342871786673).

Almost surely, 2^{8225001823833} is an apocalyptic number.

It is an amenable number.

8225001823833 is a deficient number, since it is larger than the sum of its proper divisors (4118382496395).

8225001823833 is an frugal number, since it uses more digits than its factorization.

8225001823833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661378 (or 661357 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 8225001823833 in words is "eight trillion, two hundred twenty-five billion, one million, eight hundred twenty-three thousand, eight hundred thirty-three".