82540513 has 6 divisors (see below), whose sum is σ = 90726482. Its totient is φ = 75036720.

The previous prime is 82540499. The next prime is 82540519. The reversal of 82540513 is 31504528.

It can be written as a sum of positive squares in only one way, i.e., 51437584 + 31102929 = 7172^2 + 5577^2 .

It is not a de Polignac number, because 82540513 - 2⁹ = 82540001 is a prime.

It is a super-3 number, since 3×82540513³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82540519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 340956 + ... + 341197.

Almost surely, 2^82540513 is an apocalyptic number.

It is an amenable number.

82540513 is a deficient number, since it is larger than the sum of its proper divisors (8185969).

82540513 is a wasteful number, since it uses less digits than its factorization.

82540513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682175 (or 682164 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 82540513 is about 9085.1809558203. The cubic root of 82540513 is about 435.4006314809.

The spelling of 82540513 in words is "eighty-two million, five hundred forty thousand, five hundred thirteen".