4580074125 has 320 divisors, whose sum is σ = 10274584320. Its totient is φ = 2004480000.

The previous prime is 4580074061. The next prime is 4580074133. The reversal of 4580074125 is 5214700854.

4580074125 is a `hidden beast` number, since 4 + 580 + 0 + 74 + 1 + 2 + 5 = 666.

4580074125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4580074125 - 2⁶ = 4580074061 is a prime.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 4580074125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 77628346 + ... + 77628404.

It is an arithmetic number, because the mean of its divisors is an integer number (32108076).

Almost surely, 2^4580074125 is an apocalyptic number.

4580074125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4580074125 is an abundant number, since it is smaller than the sum of its proper divisors (5694510195).

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

4580074125 is a wasteful number, since it uses less digits than its factorization.

4580074125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4580074125 is about 67676.2449091260. The cubic root of 4580074125 is about 1660.6986613663.

Adding to 4580074125 its reverse (5214700854), we get a palindrome (9794774979).

The spelling of 4580074125 in words is "four billion, five hundred eighty million, seventy-four thousand, one hundred twenty-five".