82512733657104 has 45 divisors (see below), whose sum is σ = 230921358280639. Its totient is φ = 27504208217760.

The previous prime is 82512733657093. The next prime is 82512733657121. The reversal of 82512733657104 is 40175633721528.

The square root of 82512733657104 is 9083652.

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

82512733657104 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 273 + 365 + 7 + 1 + 0 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108625339 + ... + 109382309.

Almost surely, 2^{82512733657104} is an apocalyptic number.

82512733657104 is the 9083652-nd square number.

It is an amenable number.

82512733657104 is an abundant number, since it is smaller than the sum of its proper divisors (148408624623535).

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

82512733657104 is an frugal number, since it uses more digits than its factorization.

82512733657104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513956 (or 756976 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 82512733657104 in words is "eighty-two trillion, five hundred twelve billion, seven hundred thirty-three million, six hundred fifty-seven thousand, one hundred four".