82530504 has 144 divisors (see below), whose sum is σ = 263425500. Its totient is φ = 23272704.

The previous prime is 82530479. The next prime is 82530517. The reversal of 82530504 is 40503528.

82530504 is a `hidden beast` number, since 82 + 530 + 50 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74132100 + 8398404 = 8610^2 + 2898^2 .

It is a super-2 number, since 2×82530504² = 13622568180988032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 525594 + ... + 525750.

Almost surely, 2^82530504 is an apocalyptic number.

82530504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82530504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131712750).

82530504 is an abundant number, since it is smaller than the sum of its proper divisors (180894996).

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

82530504 is a wasteful number, since it uses less digits than its factorization.

82530504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 82530504 is about 9084.6300970375. The cubic root of 82530504 is about 435.3830316344.

It can be divided in two parts, 825 and 30504, that added together give a square (31329 = 177²).

The spelling of 82530504 in words is "eighty-two million, five hundred thirty thousand, five hundred four".