6528817074025 has 81 divisors (see below), whose sum is σ = 8436906955063. Its totient is φ = 5011783223200.

The previous prime is 6528817074019. The next prime is 6528817074037. The reversal of 6528817074025 is 5204707188256.

The square root of 6528817074025 is 2555155.

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., 2350374146649 + 4178442927376 = 1533093^2 + 2044124^2 .

It is not a de Polignac number, because 6528817074025 - 2¹¹ = 6528817071977 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 80 ways as a sum of consecutive naturals, for example, 49838298210 + ... + 49838298340.

Almost surely, 2^{6528817074025} is an apocalyptic number.

6528817074025 is the 2555155-th square number.

6528817074025 is the 1277578-th centered octagonal number.

It is an amenable number.

6528817074025 is a deficient number, since it is larger than the sum of its proper divisors (1908089881038).

6528817074025 is an frugal number, since it uses more digits than its factorization.

6528817074025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 55.

The spelling of 6528817074025 in words is "six trillion, five hundred twenty-eight billion, eight hundred seventeen million, seventy-four thousand, twenty-five".