10529732952025 has 243 divisors, whose sum is σ = 16563228317181. Its totient is φ = 6620331231360.

The previous prime is 10529732951987. The next prime is 10529732952029. The reversal of 10529732952025 is 52025923792501.

The square root of 10529732952025 is 3244955.

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

It can be written as a sum of positive squares in 4 ways, for example, as 144736876249 + 10384996075776 = 380443^2 + 3222576^2 .

It is not a de Polignac number, because 10529732952025 - 2⁷ = 10529732951897 is a prime.

It is a super-2 number, since 2×10529732952025² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10529732952029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 75753474406 + ... + 75753474544.

Almost surely, 2^{10529732952025} is an apocalyptic number.

10529732952025 is the 3244955-th square number.

10529732952025 is the 1622478-th centered octagonal number.

It is an amenable number.

10529732952025 is a deficient number, since it is larger than the sum of its proper divisors (6033495365156).

10529732952025 is an equidigital number, since it uses as much as digits as its factorization.

10529732952025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 52.

The spelling of 10529732952025 in words is "ten trillion, five hundred twenty-nine billion, seven hundred thirty-two million, nine hundred fifty-two thousand, twenty-five".