4681980625 has 135 divisors (see below), whose sum is σ = 7557695607. Its totient is φ = 2890272000.

The previous prime is 4681980607. The next prime is 4681980637. The reversal of 4681980625 is 5260891864.

The square root of 4681980625 is 68425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2286465489 + 2395515136 = 47817^2 + 48944^2 .

It is not a de Polignac number, because 4681980625 - 2⁷ = 4681980497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 203564364 + ... + 203564386.

Almost surely, 2^4681980625 is an apocalyptic number.

4681980625 is the 68425-th square number.

4681980625 is the 34213-rd centered octagonal number.

It is an amenable number.

4681980625 is a deficient number, since it is larger than the sum of its proper divisors (2875714982).

4681980625 is an equidigital number, since it uses as much as digits as its factorization.

4681980625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The cubic root of 4681980625 is about 1672.9252547385.

Multiplying 4681980625 by its sum of digits (49), we get a square (229417050625 = 478975²).

4681980625 divided by its sum of digits (49) gives a square (95550625 = 9775²).

The spelling of 4681980625 in words is "four billion, six hundred eighty-one million, nine hundred eighty thousand, six hundred twenty-five".