82515006961749 has 6 divisors (see below), whose sum is σ = 119188343389206. Its totient is φ = 55010004641160.

The previous prime is 82515006961721. The next prime is 82515006961753. The reversal of 82515006961749 is 94716960051528.

82515006961749 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 5 + 0 + 0 + 6 + 9 + 617 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82490171408100 + 24835553649 = 9082410^2 + 157593^2 .

It is not a de Polignac number, because 82515006961749 - 2¹³ = 82515006953557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82515006968749) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4584167053422 + ... + 4584167053439.

It is an arithmetic number, because the mean of its divisors is an integer number (19864723898201).

Almost surely, 2^{82515006961749} is an apocalyptic number.

It is an amenable number.

82515006961749 is a deficient number, since it is larger than the sum of its proper divisors (36673336427457).

82515006961749 is a wasteful number, since it uses less digits than its factorization.

82515006961749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9168334106867 (or 9168334106864 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 82515006961749 in words is "eighty-two trillion, five hundred fifteen billion, six million, nine hundred sixty-one thousand, seven hundred forty-nine".