82528401337 has 2 divisors, whose sum is σ = 82528401338. Its totient is φ = 82528401336.

The previous prime is 82528401323. The next prime is 82528401341. The reversal of 82528401337 is 73310482528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78944702841 + 3583698496 = 280971^2 + 59864^2 .

It is a cyclic number.

It is not a de Polignac number, because 82528401337 - 2¹⁵ = 82528368569 is a prime.

It is a super-3 number, since 3×82528401337³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82528401293 and 82528401302.

It is not a weakly prime, because it can be changed into another prime (82528401367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41264200668 + 41264200669.

It is an arithmetic number, because the mean of its divisors is an integer number (41264200669).

Almost surely, 2^82528401337 is an apocalyptic number.

It is an amenable number.

82528401337 is a deficient number, since it is larger than the sum of its proper divisors (1).

82528401337 is an equidigital number, since it uses as much as digits as its factorization.

82528401337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 82528401337 in words is "eighty-two billion, five hundred twenty-eight million, four hundred one thousand, three hundred thirty-seven".