82509053 has 12 divisors (see below), whose sum is σ = 91943964. Its totient is φ = 73972800.

The previous prime is 82509047. The next prime is 82509059. The reversal of 82509053 is 35090528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82509047) and next prime (82509059).

It can be written as a sum of positive squares in 2 ways, for example, as 35545444 + 46963609 = 5962^2 + 6853^2 .

It is not a de Polignac number, because 82509053 - 2²⁴ = 65731837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82509059) 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 11 ways as a sum of consecutive naturals, for example, 4163 + ... + 13503.

It is an arithmetic number, because the mean of its divisors is an integer number (7661997).

Almost surely, 2^82509053 is an apocalyptic number.

It is an amenable number.

82509053 is a deficient number, since it is larger than the sum of its proper divisors (9434911).

82509053 is a wasteful number, since it uses less digits than its factorization.

82509053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9436 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 82509053 is about 9083.4493998701. The cubic root of 82509053 is about 435.3453073578.

The spelling of 82509053 in words is "eighty-two million, five hundred nine thousand, fifty-three".