8752538025 has 297 divisors, whose sum is σ = 20815629303. Its totient is φ = 3637418400.

The previous prime is 8752537987. The next prime is 8752538027. The reversal of 8752538025 is 5208352578.

The square root of 8752538025 is 93555.

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., 3150913689 + 5601624336 = 56133^2 + 74844^2 .

It is a tau number, because it is divible by the number of its divisors (297).

It is not a de Polignac number, because 8752538025 - 2⁷ = 8752537897 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (8752538027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 795685270 + ... + 795685280.

Almost surely, 2^8752538025 is an apocalyptic number.

8752538025 is the 93555-th square number.

8752538025 is the 46778-th centered octagonal number.

It is an amenable number.

8752538025 is an abundant number, since it is smaller than the sum of its proper divisors (12063091278).

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

8752538025 is an equidigital number, since it uses as much as digits as its factorization.

8752538025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The cubic root of 8752538025 is about 2060.8418673129.

The spelling of 8752538025 in words is "eight billion, seven hundred fifty-two million, five hundred thirty-eight thousand, twenty-five".