63506520025 has 27 divisors (see below), whose sum is σ = 85293594711. Its totient is φ = 46885026240.

The previous prime is 63506520013. The next prime is 63506520071. The reversal of 63506520025 is 52002560536.

The square root of 63506520025 is 252005.

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

It can be written as a sum of positive squares in 13 ways, for example, as 63505512009 + 1008016 = 252003^2 + 1004^2 .

It is not a de Polignac number, because 63506520025 - 2⁹ = 63506519513 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 16378387 + ... + 16382263.

Almost surely, 2^63506520025 is an apocalyptic number.

63506520025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

63506520025 is the 252005-th square number.

63506520025 is the 126003-rd centered octagonal number.

It is an amenable number.

63506520025 is a deficient number, since it is larger than the sum of its proper divisors (21787074686).

63506520025 is an frugal number, since it uses more digits than its factorization.

63506520025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 63506520025 in words is "sixty-three billion, five hundred six million, five hundred twenty thousand, twenty-five".