52582608 has 100 divisors (see below), whose sum is σ = 163948708. Its totient is φ = 16174080.

The previous prime is 52582601. The next prime is 52582609. The reversal of 52582608 is 80628525.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 50296464 = 1512^2 + 7092^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52582601) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15288 + ... + 18408.

Almost surely, 2^52582608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52582608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81974354).

52582608 is an abundant number, since it is smaller than the sum of its proper divisors (111366100).

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

52582608 is a wasteful number, since it uses less digits than its factorization.

52582608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 52582608 is about 7251.3866260185. The cubic root of 52582608 is about 374.6399103385.

It can be divided in two parts, 52 and 582608, that added together give a triangular number (582660 = T₁₀₇₉).

The spelling of 52582608 in words is "fifty-two million, five hundred eighty-two thousand, six hundred eight".