82122515536 has 40 divisors (see below), whose sum is σ = 168721154280. Its totient is φ = 38588719104.

The previous prime is 82122515533. The next prime is 82122515543. The reversal of 82122515536 is 63551522128.

It can be written as a sum of positive squares in 4 ways, for example, as 69461765136 + 12660750400 = 263556^2 + 112520^2 .

It is a super-2 number, since 2×82122515536² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82122515533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38841 + ... + 407128.

It is an arithmetic number, because the mean of its divisors is an integer number (4218028857).

Almost surely, 2^82122515536 is an apocalyptic number.

It is an amenable number.

82122515536 is an abundant number, since it is smaller than the sum of its proper divisors (86598638744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82122515536 is a wasteful number, since it uses less digits than its factorization.

82122515536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446671 (or 446665 counting only the distinct ones).

The product of its digits is 144000, while the sum is 40.

The spelling of 82122515536 in words is "eighty-two billion, one hundred twenty-two million, five hundred fifteen thousand, five hundred thirty-six".