82256757249 has 16 divisors (see below), whose sum is σ = 112423608000. Its totient is φ = 53468357376.

The previous prime is 82256757229. The next prime is 82256757259. The reversal of 82256757249 is 94275765228.

It is not a de Polignac number, because 82256757249 - 2⁸ = 82256756993 is a prime.

It is a super-2 number, since 2×82256757249² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82256757229) 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 15 ways as a sum of consecutive naturals, for example, 486924 + ... + 633725.

It is an arithmetic number, because the mean of its divisors is an integer number (7026475500).

Almost surely, 2^82256757249 is an apocalyptic number.

It is an amenable number.

82256757249 is a deficient number, since it is larger than the sum of its proper divisors (30166850751).

82256757249 is a wasteful number, since it uses less digits than its factorization.

82256757249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121264.

The product of its digits is 16934400, while the sum is 57.

The spelling of 82256757249 in words is "eighty-two billion, two hundred fifty-six million, seven hundred fifty-seven thousand, two hundred forty-nine".