5125305600 has 324 divisors, whose sum is σ = 18526556412. Its totient is φ = 1351680000.

The previous prime is 5125305589. The next prime is 5125305607. The reversal of 5125305600 is 65035215.

5125305600 is a `hidden beast` number, since 5 + 1 + 2 + 53 + 0 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3326976 + 5121978624 = 1824^2 + 71568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5125305607) 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, 5817160 + ... + 5818040.

Almost surely, 2^5125305600 is an apocalyptic number.

5125305600 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 5125305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9263278206).

5125305600 is an abundant number, since it is smaller than the sum of its proper divisors (13401250812).

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

5125305600 is a wasteful number, since it uses less digits than its factorization.

5125305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5125305600 is about 71591.2396875484. The cubic root of 5125305600 is about 1724.1428886221.

The spelling of 5125305600 in words is "five billion, one hundred twenty-five million, three hundred five thousand, six hundred".