11822825821 has 8 divisors (see below), whose sum is σ = 12561064920. Its totient is φ = 11106623808.

The previous prime is 11822825813. The next prime is 11822825857. The reversal of 11822825821 is 12852822811.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4497177721 + 7325648100 = 67061^2 + 85590^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11822825821 - 2³ = 11822825813 is a prime.

It is a super-3 number, since 3×11822825821³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11822825921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5508166 + ... + 5510311.

It is an arithmetic number, because the mean of its divisors is an integer number (1570133115).

Almost surely, 2^11822825821 is an apocalyptic number.

It is an amenable number.

11822825821 is a deficient number, since it is larger than the sum of its proper divisors (738239099).

11822825821 is a wasteful number, since it uses less digits than its factorization.

11822825821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11018543.

The product of its digits is 40960, while the sum is 40.

The spelling of 11822825821 in words is "eleven billion, eight hundred twenty-two million, eight hundred twenty-five thousand, eight hundred twenty-one".