82523027520 has 84 divisors (see below), whose sum is σ = 283844839980. Its totient is φ = 22006139904.

The previous prime is 82523027501. The next prime is 82523027539. The reversal of 82523027520 is 2572032528.

It is a happy number.

82523027520 is a `hidden beast` number, since 82 + 5 + 2 + 30 + 27 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (82523027501) and next prime (82523027539).

It can be written as a sum of positive squares in 2 ways, for example, as 63782512704 + 18740514816 = 252552^2 + 136896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14324035 + ... + 14329794.

Almost surely, 2^82523027520 is an apocalyptic number.

82523027520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82523027520 is an abundant number, since it is smaller than the sum of its proper divisors (201321812460).

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

82523027520 is a wasteful number, since it uses less digits than its factorization.

82523027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28653852 (or 28653839 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 82523027520 in words is "eighty-two billion, five hundred twenty-three million, twenty-seven thousand, five hundred twenty".