82506395763 has 48 divisors (see below), whose sum is σ = 134376592896. Its totient is φ = 48350099520.

The previous prime is 82506395753. The next prime is 82506395773. The reversal of 82506395763 is 36759360528.

It is a happy number.

82506395763 is a `hidden beast` number, since 8 + 2 + 5 + 0 + 63 + 9 + 576 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (82506395753) and next prime (82506395773).

It is not a de Polignac number, because 82506395763 - 2¹³ = 82506387571 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82506395723) 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 47 ways as a sum of consecutive naturals, for example, 279381 + ... + 493017.

It is an arithmetic number, because the mean of its divisors is an integer number (2799512352).

Almost surely, 2^82506395763 is an apocalyptic number.

82506395763 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

82506395763 is a deficient number, since it is larger than the sum of its proper divisors (51870197133).

82506395763 is a wasteful number, since it uses less digits than its factorization.

82506395763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213784 (or 213781 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 82506395763 in words is "eighty-two billion, five hundred six million, three hundred ninety-five thousand, seven hundred sixty-three".