82054251993 has 32 divisors (see below), whose sum is σ = 125349241600. Its totient is φ = 46770462720.

The previous prime is 82054251973. The next prime is 82054252013. The reversal of 82054251993 is 39915245028.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82054251973) and next prime (82054252013).

It is not a de Polignac number, because 82054251993 - 2²¹ = 82052154841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82054251973) 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 31 ways as a sum of consecutive naturals, for example, 26910333 + ... + 26913381.

It is an arithmetic number, because the mean of its divisors is an integer number (3917163800).

Almost surely, 2^82054251993 is an apocalyptic number.

It is an amenable number.

82054251993 is a deficient number, since it is larger than the sum of its proper divisors (43294989607).

82054251993 is a wasteful number, since it uses less digits than its factorization.

82054251993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857.

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 82054251993 in words is "eighty-two billion, fifty-four million, two hundred fifty-one thousand, nine hundred ninety-three".