52582100 has 36 divisors (see below), whose sum is σ = 114901500. Its totient is φ = 20885760.

The previous prime is 52582093. The next prime is 52582141. The reversal of 52582100 is 128525.

It can be written as a sum of positive squares in 6 ways, for example, as 16630084 + 35952016 = 4078^2 + 5996^2 .

It is a congruent number.

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, 13136 + ... + 16664.

Almost surely, 2^52582100 is an apocalyptic number.

52582100 is a gapful number since it is divisible by the number (50) 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 52582100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57450750).

52582100 is an abundant number, since it is smaller than the sum of its proper divisors (62319400).

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

52582100 is a wasteful number, since it uses less digits than its factorization.

52582100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 52582100 is about 7251.3515981505. The cubic root of 52582100 is about 374.6387038706.

The spelling of 52582100 in words is "fifty-two million, five hundred eighty-two thousand, one hundred".