5202542400 has 168 divisors, whose sum is σ = 18620561184. Its totient is φ = 1261209600.

The previous prime is 5202542369. The next prime is 5202542467. The reversal of 5202542400 is 42452025.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3534 + ... + 102066.

Almost surely, 2^5202542400 is an apocalyptic number.

5202542400 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 5202542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9310280592).

5202542400 is an abundant number, since it is smaller than the sum of its proper divisors (13418018784).

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

5202542400 is a wasteful number, since it uses less digits than its factorization.

5202542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98569 (or 98554 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 5202542400 is about 72128.6517273129. The cubic root of 5202542400 is about 1732.7605142044.

Adding to 5202542400 its reverse (42452025), we get a palindrome (5244994425).

The spelling of 5202542400 in words is "five billion, two hundred two million, five hundred forty-two thousand, four hundred".