82520553601 has 2 divisors, whose sum is σ = 82520553602. Its totient is φ = 82520553600.

The previous prime is 82520553503. The next prime is 82520553607. The reversal of 82520553601 is 10635502528.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58624031376 + 23896522225 = 242124^2 + 154585^2 .

It is a cyclic number.

It is not a de Polignac number, because 82520553601 - 2²⁷ = 82386335873 is a prime.

It is not a weakly prime, because it can be changed into another prime (82520553607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41260276800 + 41260276801.

It is an arithmetic number, because the mean of its divisors is an integer number (41260276801).

Almost surely, 2^82520553601 is an apocalyptic number.

It is an amenable number.

82520553601 is a deficient number, since it is larger than the sum of its proper divisors (1).

82520553601 is an equidigital number, since it uses as much as digits as its factorization.

82520553601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 82520553601 in words is "eighty-two billion, five hundred twenty million, five hundred fifty-three thousand, six hundred one".