4930906081725 has 336 divisors, whose sum is σ = 10472353257744. Its totient is φ = 2280545280000.

The previous prime is 4930906081723. The next prime is 4930906081757. The reversal of 4930906081725 is 5271806090394.

4930906081725 is a `hidden beast` number, since 4 + 9 + 3 + 0 + 9 + 0 + 608 + 1 + 7 + 25 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 4545198010809 + 385708070916 = 2131947^2 + 621054^2 .

It is not a de Polignac number, because 4930906081725 - 2¹ = 4930906081723 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4930906081723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3790088575 + ... + 3790089875.

It is an arithmetic number, because the mean of its divisors is an integer number (31167718029).

It is a 1-persistent number, because it is pandigital, but 2⋅4930906081725 = 9861812163450 is not.

Almost surely, 2^{4930906081725} is an apocalyptic number.

4930906081725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4930906081725 is an abundant number, since it is smaller than the sum of its proper divisors (5541447176019).

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

4930906081725 is a wasteful number, since it uses less digits than its factorization.

4930906081725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 4930906081725 in words is "four trillion, nine hundred thirty billion, nine hundred six million, eighty-one thousand, seven hundred twenty-five".