825224412321 has 16 divisors (see below), whose sum is σ = 1222664963520. Its totient is φ = 550099982880.

The previous prime is 825224412307. The next prime is 825224412359. The reversal of 825224412321 is 123214422528.

825224412321 is a `hidden beast` number, since 8 + 2 + 522 + 4 + 4 + 123 + 2 + 1 = 666.

It is not a de Polignac number, because 825224412321 - 2⁵ = 825224412289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825224412821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072380 + ... + 1673453.

It is an arithmetic number, because the mean of its divisors is an integer number (76416560220).

Almost surely, 2^825224412321 is an apocalyptic number.

It is an amenable number.

825224412321 is a deficient number, since it is larger than the sum of its proper divisors (397440551199).

825224412321 is a wasteful number, since it uses less digits than its factorization.

825224412321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756973 (or 2756967 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 825224412321 its reverse (123214422528), we get a palindrome (948438834849).

The spelling of 825224412321 in words is "eight hundred twenty-five billion, two hundred twenty-four million, four hundred twelve thousand, three hundred twenty-one".