5152125600 has 432 divisors, whose sum is σ = 19245268224. Its totient is φ = 1294848000.

The previous prime is 5152125581. The next prime is 5152125619. The reversal of 5152125600 is 65212515.

5152125600 is a `hidden beast` number, since 5 + 1 + 52 + 1 + 2 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5152125581) and next prime (5152125619).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9150919 + ... + 9151481.

It is an arithmetic number, because the mean of its divisors is an integer number (44549232).

Almost surely, 2^5152125600 is an apocalyptic number.

5152125600 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 5152125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9622634112).

5152125600 is an abundant number, since it is smaller than the sum of its proper divisors (14093142624).

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

5152125600 is a wasteful number, since it uses less digits than its factorization.

5152125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5152125600 is about 71778.3087011668. The cubic root of 5152125600 is about 1727.1450567601.

The spelling of 5152125600 in words is "five billion, one hundred fifty-two million, one hundred twenty-five thousand, six hundred".