63284949225 has 81 divisors (see below), whose sum is σ = 117341686917. Its totient is φ = 32602824000.

The previous prime is 63284949193. The next prime is 63284949271. The reversal of 63284949225 is 52294948236.

The square root of 63284949225 is 251565.

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

63284949225 is a `hidden beast` number, since 6 + 328 + 4 + 94 + 9 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3733332201 + 59551617024 = 61101^2 + 244032^2 .

It is not a de Polignac number, because 63284949225 - 2⁵ = 63284949193 is a prime.

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 80 ways as a sum of consecutive naturals, for example, 116977455 + ... + 116977995.

Almost surely, 2^63284949225 is an apocalyptic number.

63284949225 is the 251565-th square number.

63284949225 is the 125783-rd centered octagonal number.

It is an amenable number.

63284949225 is a deficient number, since it is larger than the sum of its proper divisors (54056737692).

63284949225 is an equidigital number, since it uses as much as digits as its factorization.

63284949225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 580 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 63284949225 in words is "sixty-three billion, two hundred eighty-four million, nine hundred forty-nine thousand, two hundred twenty-five".