5262535200 has 288 divisors, whose sum is σ = 19045780992. Its totient is φ = 1253376000.

The previous prime is 5262535189. The next prime is 5262535207. The reversal of 5262535200 is 25352625.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5262535207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964480 + ... + 969920.

It is an arithmetic number, because the mean of its divisors is an integer number (66131184).

Almost surely, 2^5262535200 is an apocalyptic number.

5262535200 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 5262535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9522890496).

5262535200 is an abundant number, since it is smaller than the sum of its proper divisors (13783245792).

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

5262535200 is a wasteful number, since it uses less digits than its factorization.

5262535200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 5262535200 is about 72543.3332567508. Note that the first 3 decimals coincide. The cubic root of 5262535200 is about 1739.3954829590.

Adding to 5262535200 its reverse (25352625), we get a palindrome (5287887825).

The spelling of 5262535200 in words is "five billion, two hundred sixty-two million, five hundred thirty-five thousand, two hundred".