82524000073 has 2 divisors, whose sum is σ = 82524000074. Its totient is φ = 82524000072.

The previous prime is 82524000071. The next prime is 82524000077. The reversal of 82524000073 is 37000042528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41263015689 + 41260984384 = 203133^2 + 203128^2 .

It is a cyclic number.

It is not a de Polignac number, because 82524000073 - 2¹ = 82524000071 is a prime.

Together with 82524000071, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 82523999999 and 82524000044.

It is not a weakly prime, because it can be changed into another prime (82524000071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41262000036 + 41262000037.

It is an arithmetic number, because the mean of its divisors is an integer number (41262000037).

Almost surely, 2^82524000073 is an apocalyptic number.

It is an amenable number.

82524000073 is a deficient number, since it is larger than the sum of its proper divisors (1).

82524000073 is an equidigital number, since it uses as much as digits as its factorization.

82524000073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 82524000073 in words is "eighty-two billion, five hundred twenty-four million, seventy-three", and thus it is an aban number.