5125600512 has 288 divisors, whose sum is σ = 16482816000. Its totient is φ = 1565153280.

The previous prime is 5125600511. The next prime is 5125600523. The reversal of 5125600512 is 2150065215.

5125600512 is a `hidden beast` number, since 5 + 1 + 2 + 5 + 600 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5125600512² = 52543561217229324288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5125600511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4070539 + ... + 4071797.

It is an arithmetic number, because the mean of its divisors is an integer number (57232000).

Almost surely, 2^5125600512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5125600512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241408000).

5125600512 is an abundant number, since it is smaller than the sum of its proper divisors (11357215488).

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

5125600512 is a wasteful number, since it uses less digits than its factorization.

5125600512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1314 counting only the distinct ones).

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

The square root of 5125600512 is about 71593.2993512661. The cubic root of 5125600512 is about 1724.1759572632.

Adding to 5125600512 its reverse (2150065215), we get a palindrome (7275665727).

The spelling of 5125600512 in words is "five billion, one hundred twenty-five million, six hundred thousand, five hundred twelve".