82527807533303 has 24 divisors (see below), whose sum is σ = 91410543370608. Its totient is φ = 74447925552000.

The previous prime is 82527807533299. The next prime is 82527807533429. The reversal of 82527807533303 is 30333570872528.

It is a happy number.

It is not a de Polignac number, because 82527807533303 - 2² = 82527807533299 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82527807533603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268060925 + ... + 268368617.

It is an arithmetic number, because the mean of its divisors is an integer number (3808772640442).

Almost surely, 2^{82527807533303} is an apocalyptic number.

82527807533303 is a deficient number, since it is larger than the sum of its proper divisors (8882735837305).

82527807533303 is a wasteful number, since it uses less digits than its factorization.

82527807533303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324767 (or 324756 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 56.

The spelling of 82527807533303 in words is "eighty-two trillion, five hundred twenty-seven billion, eight hundred seven million, five hundred thirty-three thousand, three hundred three".