82361542006276 has 27 divisors (see below), whose sum is σ = 156073132505493. Its totient is φ = 38012910483600.

The previous prime is 82361542006273. The next prime is 82361542006279. The reversal of 82361542006276 is 67260024516328.

The square root of 82361542006276 is 9075326.

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

82361542006276 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (82361542006273) and next prime (82361542006279).

It can be written as a sum of positive squares in only one way, i.e., 12183660060100 + 70177881946176 = 3490510^2 + 8377224^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82361542006273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 235783951 + ... + 236133001.

Almost surely, 2^{82361542006276} is an apocalyptic number.

82361542006276 is the 9075326-th square number.

It is an amenable number.

82361542006276 is a deficient number, since it is larger than the sum of its proper divisors (73711590499217).

82361542006276 is an frugal number, since it uses more digits than its factorization.

82361542006276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698132 (or 349066 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 82361542006276 in words is "eighty-two trillion, three hundred sixty-one billion, five hundred forty-two million, six thousand, two hundred seventy-six".