7581128958225 has 81 divisors (see below), whose sum is σ = 14332407307569. Its totient is φ = 3830068670400.

The previous prime is 7581128958223. The next prime is 7581128958229. The reversal of 7581128958225 is 5228598211857.

The square root of 7581128958225 is 2753385.

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

7581128958225 is a `hidden beast` number, since 7 + 5 + 8 + 1 + 1 + 28 + 9 + 582 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4746781621521 + 2834347336704 = 2178711^2 + 1683552^2 .

It is not a de Polignac number, because 7581128958225 - 2¹ = 7581128958223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7581128958223) by changing a digit.

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, 784709895 + ... + 784719555.

Almost surely, 2^{7581128958225} is an apocalyptic number.

7581128958225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7581128958225 is the 2753385-th square number.

7581128958225 is the 1376693-rd centered octagonal number.

It is an amenable number.

7581128958225 is a deficient number, since it is larger than the sum of its proper divisors (6751278349344).

7581128958225 is an frugal number, since it uses more digits than its factorization.

7581128958225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19376 (or 9688 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 63.

The spelling of 7581128958225 in words is "seven trillion, five hundred eighty-one billion, one hundred twenty-eight million, nine hundred fifty-eight thousand, two hundred twenty-five".