63516600625 has 45 divisors (see below), whose sum is σ = 84456247381. Its totient is φ = 47743616000.

The previous prime is 63516600619. The next prime is 63516600649. The reversal of 63516600625 is 52600661536.

It is a happy number.

The square root of 63516600625 is 252025.

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

63516600625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 62488500529 + 1028100096 = 249977^2 + 32064^2 .

It is not a de Polignac number, because 63516600625 - 2³ = 63516600617 is a prime.

It is a super-3 number, since 3×63516600625³ (a number of 33 digits) contains 333 as substring.

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, 107110329 + ... + 107110921.

Almost surely, 2^63516600625 is an apocalyptic number.

63516600625 is the 252025-th square number.

63516600625 is the 126013-rd centered octagonal number.

It is an amenable number.

63516600625 is a deficient number, since it is larger than the sum of its proper divisors (20939646756).

63516600625 is an frugal number, since it uses more digits than its factorization.

63516600625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 63516600625 in words is "sixty-three billion, five hundred sixteen million, six hundred thousand, six hundred twenty-five".