660603200625 has 45 divisors (see below), whose sum is σ = 1192484135271. Its totient is φ = 352289196000.

The previous prime is 660603200597. The next prime is 660603200629. The reversal of 660603200625 is 526002306066.

The square root of 660603200625 is 812775.

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

660603200625 is a `hidden beast` number, since 6 + 6 + 0 + 6 + 0 + 3 + 20 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 635478414561 + 25124786064 = 797169^2 + 158508^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 660603200625 - 2⁷ = 660603200497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 660603200625.

It is not an unprimeable number, because it can be changed into a prime (660603200629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 60952707 + ... + 60963543.

Almost surely, 2^660603200625 is an apocalyptic number.

660603200625 is the 812775-th square number.

660603200625 is the 406388-th centered octagonal number.

It is an amenable number.

660603200625 is a deficient number, since it is larger than the sum of its proper divisors (531880934646).

660603200625 is an frugal number, since it uses more digits than its factorization.

660603200625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21700 (or 10845 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Multiplying 660603200625 by its sum of digits (36), we get a square (23781715222500 = 4876650²).

The spelling of 660603200625 in words is "six hundred sixty billion, six hundred three million, two hundred thousand, six hundred twenty-five".