63735873075625 has 15 divisors (see below), whose sum is σ = 79644596399841. Its totient is φ = 50988538791000.

The previous prime is 63735873075577. The next prime is 63735873075671. The reversal of 63735873075625 is 52657037853736.

The square root of 63735873075625 is 7983475.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4996892449129 + 58738980626496 = 2235373^2 + 7664136^2 .

It is a de Polignac number, because none of the positive numbers 2^k-63735873075625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 199427206 + ... + 199746544.

Almost surely, 2^{63735873075625} is an apocalyptic number.

63735873075625 is the 7983475-th square number.

63735873075625 is the 3991738-th centered octagonal number.

It is an amenable number.

63735873075625 is a deficient number, since it is larger than the sum of its proper divisors (15908723324216).

63735873075625 is an frugal number, since it uses more digits than its factorization.

63735873075625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638698 (or 319344 counting only the distinct ones).

The product of its (nonzero) digits is 666792000, while the sum is 67.

The spelling of 63735873075625 in words is "sixty-three trillion, seven hundred thirty-five billion, eight hundred seventy-three million, seventy-five thousand, six hundred twenty-five".