82820028503601 has 9 divisors (see below), whose sum is σ = 119628969496491. Its totient is φ = 55213334134632.

The previous prime is 82820028503591. The next prime is 82820028503627. The reversal of 82820028503601 is 10630582002828.

The square root of 82820028503601 is 9100551.

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

82820028503601 is a `hidden beast` number, since 8 + 2 + 8 + 2 + 0 + 0 + 285 + 0 + 360 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21646919390625 + 61173109112976 = 4652625^2 + 7821324^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 82820028503601 - 2²¹ = 82820026406449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82820028503701) 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, 25784895 + ... + 28818411.

Almost surely, 2^{82820028503601} is an apocalyptic number.

82820028503601 is the 9100551-st square number.

82820028503601 is the 4550276-th centered octagonal number.

It is an amenable number.

82820028503601 is a deficient number, since it is larger than the sum of its proper divisors (36808940992890).

82820028503601 is an frugal number, since it uses more digits than its factorization.

82820028503601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067040 (or 3033520 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 82820028503601 in words is "eighty-two trillion, eight hundred twenty billion, twenty-eight million, five hundred three thousand, six hundred one".