5224081640625 has 243 divisors, whose sum is σ = 10049851788067. Its totient is φ = 2614755000000.

The previous prime is 5224081640611. The next prime is 5224081640653. The reversal of 5224081640625 is 5260461804225.

The square root of 5224081640625 is 2285625.

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

5224081640625 is a `hidden beast` number, since 5 + 2 + 2 + 4 + 0 + 8 + 16 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 974530275489 + 4249551365136 = 987183^2 + 2061444^2 .

It is not a de Polignac number, because 5224081640625 - 2¹⁷ = 5224081509553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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 242 ways as a sum of consecutive naturals, for example, 98567578099 + ... + 98567578151.

Almost surely, 2^{5224081640625} is an apocalyptic number.

5224081640625 is the 2285625-th square number.

5224081640625 is the 1142813-rd centered octagonal number.

It is an amenable number.

5224081640625 is a deficient number, since it is larger than the sum of its proper divisors (4825770147442).

5224081640625 is an frugal number, since it uses more digits than its factorization.

5224081640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5224081640625 in words is "five trillion, two hundred twenty-four billion, eighty-one million, six hundred forty thousand, six hundred twenty-five".