20828551041 has 27 divisors (see below), whose sum is σ = 30549820899. Its totient is φ = 13674703392.

The previous prime is 20828551039. The next prime is 20828551069. The reversal of 20828551041 is 14015582802.

The square root of 20828551041 is 144321.

It is a perfect power (a square), and thus also a powerful number.

20828551041 is a `hidden beast` number, since 20 + 8 + 2 + 85 + 510 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11823300225 + 9005250816 = 108735^2 + 94896^2 .

It is not a de Polignac number, because 20828551041 - 2¹ = 20828551039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20828550987 and 20828551005.

It is not an unprimeable number, because it can be changed into a prime (20828558041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31605970 + ... + 31606628.

Almost surely, 2^20828551041 is an apocalyptic number.

20828551041 is the 144321-st square number.

20828551041 is the 72161-st centered octagonal number.

It is an amenable number.

20828551041 is a deficient number, since it is larger than the sum of its proper divisors (9721269858).

20828551041 is an frugal number, since it uses more digits than its factorization.

20828551041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Multiplying 20828551041 by its sum of digits (36), we get a square (749827837476 = 865926²).

Multiplying 20828551041 by its product of nonzero digits (25600), we get a square (533210906649600 = 23091360²).

The spelling of 20828551041 in words is "twenty billion, eight hundred twenty-eight million, five hundred fifty-one thousand, forty-one".