66303675025 has 45 divisors (see below), whose sum is σ = 96004955643. Its totient is φ = 45422118000.

The previous prime is 66303675019. The next prime is 66303675079. The reversal of 66303675025 is 52057630366.

The square root of 66303675025 is 257495.

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

It can be written as a sum of positive squares in only one way, i.e., 23869323009 + 42434352016 = 154497^2 + 205996^2 .

It is not a de Polignac number, because 66303675025 - 2¹⁷ = 66303543953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 63085750 + ... + 63086800.

Almost surely, 2^66303675025 is an apocalyptic number.

66303675025 is the 257495-th square number.

66303675025 is the 128748-th centered octagonal number.

It is an amenable number.

66303675025 is a deficient number, since it is larger than the sum of its proper divisors (29701280618).

66303675025 is an frugal number, since it uses more digits than its factorization.

66303675025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 43.

The spelling of 66303675025 in words is "sixty-six billion, three hundred three million, six hundred seventy-five thousand, twenty-five".