5252889600 has 396 divisors, whose sum is σ = 21501262224. Its totient is φ = 1200291840.

The previous prime is 5252889553. The next prime is 5252889601. The reversal of 5252889600 is 69882525.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5252889601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1611172 + ... + 1614428.

Almost surely, 2^5252889600 is an apocalyptic number.

5252889600 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 5252889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10750631112).

5252889600 is an abundant number, since it is smaller than the sum of its proper divisors (16248372624).

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

5252889600 is a wasteful number, since it uses less digits than its factorization.

5252889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5252889600 is about 72476.8211223423. The cubic root of 5252889600 is about 1738.3321314704.

The spelling of 5252889600 in words is "five billion, two hundred fifty-two million, eight hundred eighty-nine thousand, six hundred".