48881701487025 has 81 divisors (see below), whose sum is σ = 96237728247297. Its totient is φ = 23699659579200.

The previous prime is 48881701487011. The next prime is 48881701487051. The reversal of 48881701487025 is 52078410718884.

The square root of 48881701487025 is 6991545.

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

48881701487025 is a `hidden beast` number, since 4 + 8 + 8 + 81 + 70 + 1 + 487 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19626237882801 + 29255463604224 = 4430151^2 + 5408832^2 .

It is not a de Polignac number, because 48881701487025 - 2⁵ = 48881701486993 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, 1153583739 + ... + 1153626111.

Almost surely, 2^{48881701487025} is an apocalyptic number.

48881701487025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48881701487025 is the 6991545-th square number.

48881701487025 is the 3495773-rd centered octagonal number.

It is an amenable number.

48881701487025 is a deficient number, since it is larger than the sum of its proper divisors (47356026760272).

48881701487025 is an frugal number, since it uses more digits than its factorization.

48881701487025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84784 (or 42392 counting only the distinct ones).

The product of its (nonzero) digits is 32112640, while the sum is 63.

The spelling of 48881701487025 in words is "forty-eight trillion, eight hundred eighty-one billion, seven hundred one million, four hundred eighty-seven thousand, twenty-five".