4725080375625 has 75 divisors (see below), whose sum is σ = 8821156438083. Its totient is φ = 2519782020000.

The previous prime is 4725080375591. The next prime is 4725080375651. The reversal of 4725080375625 is 5265730805274.

The square root of 4725080375625 is 2173725.

It is a perfect power (a square), and thus also a powerful number.

4725080375625 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 0 + 8 + 0 + 3 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4390353330489 + 334727045136 = 2095317^2 + 578556^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 4725080375625 - 2¹⁷ = 4725080244553 is a prime.

It is a super-2 number, since 2×4725080375625² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 489083295 + ... + 489092955.

Almost surely, 2^{4725080375625} is an apocalyptic number.

4725080375625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4725080375625 is the 2173725-th square number.

4725080375625 is the 1086863-rd centered octagonal number.

It is an amenable number.

4725080375625 is a deficient number, since it is larger than the sum of its proper divisors (4096076062458).

4725080375625 is an frugal number, since it uses more digits than its factorization.

4725080375625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19354 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 4725080375625 in words is "four trillion, seven hundred twenty-five billion, eighty million, three hundred seventy-five thousand, six hundred twenty-five".