4560616125 has 96 divisors (see below), whose sum is σ = 9159827040. Its totient is φ = 2167603200.

The previous prime is 4560616121. The next prime is 4560616127. The reversal of 4560616125 is 5216160654.

4560616125 is a `hidden beast` number, since 45 + 606 + 1 + 6 + 1 + 2 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2818972836 + 1741643289 = 53094^2 + 41733^2 .

It is not a de Polignac number, because 4560616125 - 2² = 4560616121 is a prime.

It is a super-2 number, since 2×4560616125² = 41598438879220031250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4560616125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4560616121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418749 + ... + 429501.

It is an arithmetic number, because the mean of its divisors is an integer number (95414865).

Almost surely, 2^4560616125 is an apocalyptic number.

4560616125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4560616125 is an abundant number, since it is smaller than the sum of its proper divisors (4599210915).

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

4560616125 is a wasteful number, since it uses less digits than its factorization.

4560616125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816 (or 10803 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4560616125 is about 67532.3339223516. Note that the first 3 decimals coincide. The cubic root of 4560616125 is about 1658.3435507452.

Adding to 4560616125 its reverse (5216160654), we get a palindrome (9776776779).

The spelling of 4560616125 in words is "four billion, five hundred sixty million, six hundred sixteen thousand, one hundred twenty-five".