42549375625 has 45 divisors (see below), whose sum is σ = 54891703251. Its totient is φ = 32970996000.

The previous prime is 42549375601. The next prime is 42549375643. The reversal of 42549375625 is 52657394524.

The square root of 42549375625 is 206275.

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 14127461881 + 28421913744 = 118859^2 + 168588^2 .

It is a de Polignac number, because none of the positive numbers 2^k-42549375625 is a prime.

It is a Duffinian number.

Its product of digits (9072000) is a multiple of the sum of its prime factors (540).

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 44 ways as a sum of consecutive naturals, for example, 190804264 + ... + 190804486.

Almost surely, 2^42549375625 is an apocalyptic number.

42549375625 is the 206275-th square number.

42549375625 is the 103138-th centered octagonal number.

It is an amenable number.

42549375625 is a deficient number, since it is larger than the sum of its proper divisors (12342327626).

42549375625 is an frugal number, since it uses more digits than its factorization.

42549375625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 265 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 52.

The spelling of 42549375625 in words is "forty-two billion, five hundred forty-nine million, three hundred seventy-five thousand, six hundred twenty-five".