82019804881 has 27 divisors (see below), whose sum is σ = 96383719593. Its totient is φ = 69593013000.

The previous prime is 82019804869. The next prime is 82019804887. The reversal of 82019804881 is 18840891028.

The square root of 82019804881 is 286391.

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

It is not a de Polignac number, because 82019804881 - 2¹³ = 82019796689 is a prime.

It is a super-2 number, since 2×82019804881² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (82019804887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 326772006 + ... + 326772256.

Almost surely, 2^82019804881 is an apocalyptic number.

82019804881 is the 286391-st square number.

82019804881 is the 143196-th centered octagonal number.

It is an amenable number.

82019804881 is a deficient number, since it is larger than the sum of its proper divisors (14363914712).

82019804881 is an frugal number, since it uses more digits than its factorization.

82019804881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 49.

Multiplying 82019804881 by its sum of digits (49), we get a square (4018970439169 = 2004737²).

82019804881 divided by its sum of digits (49) gives a square (1673873569 = 40913²).

The spelling of 82019804881 in words is "eighty-two billion, nineteen million, eight hundred four thousand, eight hundred eighty-one".