82582582508343 has 48 divisors (see below), whose sum is σ = 129886684855200. Its totient is φ = 50365935544320.

The previous prime is 82582582508269. The next prime is 82582582508369. The reversal of 82582582508343 is 34380528528528.

82582582508343 is a `hidden beast` number, since 8 + 2 + 5 + 8 + 2 + 5 + 82 + 508 + 3 + 43 = 666.

It is not a de Polignac number, because 82582582508343 - 2²² = 82582578314039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82582582508383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50592088 + ... + 52198893.

It is an arithmetic number, because the mean of its divisors is an integer number (2705972601150).

Almost surely, 2^{82582582508343} is an apocalyptic number.

82582582508343 is a deficient number, since it is larger than the sum of its proper divisors (47304102346857).

82582582508343 is a wasteful number, since it uses less digits than its factorization.

82582582508343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102791152 (or 102791149 counting only the distinct ones).

The product of its (nonzero) digits is 147456000, while the sum is 63.

The spelling of 82582582508343 in words is "eighty-two trillion, five hundred eighty-two billion, five hundred eighty-two million, five hundred eight thousand, three hundred forty-three".