82564131047 has 4 divisors (see below), whose sum is σ = 87420844656. Its totient is φ = 77707417440.

The previous prime is 82564130983. The next prime is 82564131101. The reversal of 82564131047 is 74013146528.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 82564131047 - 2⁶ = 82564130983 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82564130995 and 82564131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82564161047) 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 3 ways as a sum of consecutive naturals, for example, 2428356779 + ... + 2428356812.

It is an arithmetic number, because the mean of its divisors is an integer number (21855211164).

Almost surely, 2^82564131047 is an apocalyptic number.

82564131047 is a deficient number, since it is larger than the sum of its proper divisors (4856713609).

82564131047 is a wasteful number, since it uses less digits than its factorization.

82564131047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856713608.

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 82564131047 in words is "eighty-two billion, five hundred sixty-four million, one hundred thirty-one thousand, forty-seven".