82532777808005 has 12 divisors (see below), whose sum is σ = 115209020450700. Its totient is φ = 56593904782464.

The previous prime is 82532777807941. The next prime is 82532777808007. The reversal of 82532777808005 is 50080877723528.

It can be written as a sum of positive squares in 2 ways, for example, as 27490296848161 + 55042480959844 = 5243119^2 + 7419062^2 .

It is not a de Polignac number, because 82532777808005 - 2⁶ = 82532777807941 is a prime.

It is a super-2 number, since 2×82532777808005² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82532777808007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168434240180 + ... + 168434240669.

It is an arithmetic number, because the mean of its divisors is an integer number (9600751704225).

Almost surely, 2^{82532777808005} is an apocalyptic number.

It is an amenable number.

82532777808005 is a deficient number, since it is larger than the sum of its proper divisors (32676242642695).

82532777808005 is a wasteful number, since it uses less digits than its factorization.

82532777808005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336868480868 (or 336868480861 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 62.

The spelling of 82532777808005 in words is "eighty-two trillion, five hundred thirty-two billion, seven hundred seventy-seven million, eight hundred eight thousand, five".