821274221241 has 6 divisors (see below), whose sum is σ = 1186284986250. Its totient is φ = 547516147488.

The previous prime is 821274221237. The next prime is 821274221267. The reversal of 821274221241 is 142122472128.

821274221241 is a `hidden beast` number, since 8 + 212 + 7 + 422 + 12 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 517126383225 + 304147838016 = 719115^2 + 551496^2 .

It is not a de Polignac number, because 821274221241 - 2² = 821274221237 is a prime.

It is a super-2 number, since 2×821274221241² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 821274221196 and 821274221205.

It is not an unprimeable number, because it can be changed into a prime (821274221291) 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 5 ways as a sum of consecutive naturals, for example, 45626345616 + ... + 45626345633.

It is an arithmetic number, because the mean of its divisors is an integer number (197714164375).

Almost surely, 2^821274221241 is an apocalyptic number.

It is an amenable number.

821274221241 is a deficient number, since it is larger than the sum of its proper divisors (365010765009).

821274221241 is a wasteful number, since it uses less digits than its factorization.

821274221241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91252691255 (or 91252691252 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

Adding to 821274221241 its reverse (142122472128), we get a palindrome (963396693369).

The spelling of 821274221241 in words is "eight hundred twenty-one billion, two hundred seventy-four million, two hundred twenty-one thousand, two hundred forty-one".