82624053136 has 15 divisors (see below), whose sum is σ = 160086330673. Its totient is φ = 41311451680.

The previous prime is 82624053073. The next prime is 82624053139. The reversal of 82624053136 is 63135042628.

The square root of 82624053136 is 287444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 186158736 + 82437894400 = 13644^2 + 287120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82624053139) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1113846 + ... + 1185706.

Almost surely, 2^82624053136 is an apocalyptic number.

82624053136 is the 287444-th square number.

It is an amenable number.

82624053136 is a deficient number, since it is larger than the sum of its proper divisors (77462277537).

82624053136 is an frugal number, since it uses more digits than its factorization.

82624053136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143730 (or 71863 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 82624053136 in words is "eighty-two billion, six hundred twenty-four million, fifty-three thousand, one hundred thirty-six".