82605052530 has 256 divisors, whose sum is σ = 295761715200. Its totient is φ = 15844273920.

The previous prime is 82605052513. The next prime is 82605052531. The reversal of 82605052530 is 3525050628.

It is a happy number.

82605052530 is a `hidden beast` number, since 8 + 26 + 0 + 50 + 52 + 530 = 666.

It is not an unprimeable number, because it can be changed into a prime (82605052531) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117451 + ... + 423089.

It is an arithmetic number, because the mean of its divisors is an integer number (1155319200).

Almost surely, 2^82605052530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82605052530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147880857600).

82605052530 is an abundant number, since it is smaller than the sum of its proper divisors (213156662670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82605052530 is a wasteful number, since it uses less digits than its factorization.

82605052530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305686 (or 305680 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 82605052530 in words is "eighty-two billion, six hundred five million, fifty-two thousand, five hundred thirty".