48759264225 has 135 divisors (see below), whose sum is σ = 105215066121. Its totient is φ = 22258152000.

The previous prime is 48759264223. The next prime is 48759264251. The reversal of 48759264225 is 52246295784.

The square root of 48759264225 is 220815.

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

48759264225 is a `hidden beast` number, since 4 + 8 + 7 + 592 + 6 + 42 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3308435361 + 45450828864 = 57519^2 + 213192^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 48759264225 - 2¹ = 48759264223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48759264223) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 69556375 + ... + 69557075.

Almost surely, 2^48759264225 is an apocalyptic number.

48759264225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48759264225 is the 220815-th square number.

48759264225 is the 110408-th centered octagonal number.

It is an amenable number.

48759264225 is an abundant number, since it is smaller than the sum of its proper divisors (56455801896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48759264225 is an frugal number, since it uses more digits than its factorization.

48759264225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 716 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 48759264225 in words is "forty-eight billion, seven hundred fifty-nine million, two hundred sixty-four thousand, two hundred twenty-five".