820411773231 has 16 divisors (see below), whose sum is σ = 1144042606080. Its totient is φ = 521969400480.

The previous prime is 820411773163. The next prime is 820411773281. The reversal of 820411773231 is 132377114028.

820411773231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820411773231 - 2²³ = 820403384623 is a prime.

It is a super-3 number, since 3×820411773231³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 820411773231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820411773281) 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, 13511880 + ... + 13572461.

It is an arithmetic number, because the mean of its divisors is an integer number (71502662880).

Almost surely, 2^820411773231 is an apocalyptic number.

820411773231 is a deficient number, since it is larger than the sum of its proper divisors (323630832849).

820411773231 is a wasteful number, since it uses less digits than its factorization.

820411773231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27084806.

The product of its (nonzero) digits is 56448, while the sum is 39.

Adding to 820411773231 its reverse (132377114028), we get a palindrome (952788887259).

The spelling of 820411773231 in words is "eight hundred twenty billion, four hundred eleven million, seven hundred seventy-three thousand, two hundred thirty-one".