5152745600 has 192 divisors, whose sum is σ = 13275340800. Its totient is φ = 1974067200.

The previous prime is 5152745597. The next prime is 5152745623. The reversal of 5152745600 is 65472515.

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, 12598196 + ... + 12598604.

It is an arithmetic number, because the mean of its divisors is an integer number (69142400).

Almost surely, 2^5152745600 is an apocalyptic number.

5152745600 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 5152745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637670400).

5152745600 is an abundant number, since it is smaller than the sum of its proper divisors (8122595200).

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

5152745600 is a wasteful number, since it uses less digits than its factorization.

5152745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 5152745600 is about 71782.6274247467. The cubic root of 5152745600 is about 1727.2143347674.

The spelling of 5152745600 in words is "five billion, one hundred fifty-two million, seven hundred forty-five thousand, six hundred".