8281761618025 has 27 divisors (see below), whose sum is σ = 11946163884951. Its totient is φ = 5678853185040.

The previous prime is 8281761617971. The next prime is 8281761618077. The reversal of 8281761618025 is 5208161671828.

The square root of 8281761618025 is 2877805.

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

It can be written as a sum of positive squares in only one way, i.e., 2981434182489 + 5300327435536 = 1726683^2 + 2302244^2 .

It is not a de Polignac number, because 8281761618025 - 2¹⁵ = 8281761585257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100682064 + ... + 100764286.

Almost surely, 2^{8281761618025} is an apocalyptic number.

8281761618025 is the 2877805-th square number.

8281761618025 is the 1438903-rd centered octagonal number.

It is an amenable number.

8281761618025 is a deficient number, since it is larger than the sum of its proper divisors (3664402266926).

8281761618025 is an frugal number, since it uses more digits than its factorization.

8281761618025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164470 (or 82235 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 55.

The spelling of 8281761618025 in words is "eight trillion, two hundred eighty-one billion, seven hundred sixty-one million, six hundred eighteen thousand, twenty-five".