52523541200 has 120 divisors (see below), whose sum is σ = 136403379000. Its totient is φ = 19320698880.

The previous prime is 52523541181. The next prime is 52523541209. The reversal of 52523541200 is 214532525.

It can be written as a sum of positive squares in 12 ways, for example, as 41749931584 + 10773609616 = 204328^2 + 103796^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52523541209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1380026 + ... + 1417574.

It is an arithmetic number, because the mean of its divisors is an integer number (1136694825).

Almost surely, 2^52523541200 is an apocalyptic number.

52523541200 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 52523541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68201689500).

52523541200 is an abundant number, since it is smaller than the sum of its proper divisors (83879837800).

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

52523541200 is a wasteful number, since it uses less digits than its factorization.

52523541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37849 (or 37838 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 52523541200 in words is "fifty-two billion, five hundred twenty-three million, five hundred forty-one thousand, two hundred".