52506100 has 36 divisors (see below), whose sum is σ = 115134124. Its totient is φ = 20782080.

The previous prime is 52506061. The next prime is 52506119. The reversal of 52506100 is 160525.

It is a happy number.

52506100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5116644 + 47389456 = 2262^2 + 6884^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6994 + ... + 12406.

Almost surely, 2^52506100 is an apocalyptic number.

52506100 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 52506100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57567062).

52506100 is an abundant number, since it is smaller than the sum of its proper divisors (62628024).

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

52506100 is a wasteful number, since it uses less digits than its factorization.

52506100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 52506100 is about 7246.1093008593. The cubic root of 52506100 is about 374.4581210601.

Adding to 52506100 its reverse (160525), we get a palindrome (52666625).

The spelling of 52506100 in words is "fifty-two million, five hundred six thousand, one hundred".