82715368850401 has 9 divisors (see below), whose sum is σ = 96219992924499. Its totient is φ = 70898833017264.

The previous prime is 82715368850399. The next prime is 82715368850407. The reversal of 82715368850401 is 10405886351728.

The square root of 82715368850401 is 9094799.

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., 82223092613025 + 492276237376 = 9067695^2 + 701624^2 .

It is not a de Polignac number, because 82715368850401 - 2¹ = 82715368850399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82715368850407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63013965 + ... + 64313221.

Almost surely, 2^{82715368850401} is an apocalyptic number.

82715368850401 is the 9094799-th square number.

82715368850401 is the 4547400-th centered octagonal number.

It is an amenable number.

82715368850401 is a deficient number, since it is larger than the sum of its proper divisors (13504624074098).

82715368850401 is an frugal number, since it uses more digits than its factorization.

82715368850401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598528 (or 1299264 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 58.

The spelling of 82715368850401 in words is "eighty-two trillion, seven hundred fifteen billion, three hundred sixty-eight million, eight hundred fifty thousand, four hundred one".