9825765625 has 63 divisors (see below), whose sum is σ = 13521096459. Its totient is φ = 7137000000.

The previous prime is 9825765619. The next prime is 9825765647. The reversal of 9825765625 is 5265675289.

The square root of 9825765625 is 99125.

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

It can be written as a sum of positive squares in 31 ways, for example, as 3457087209 + 6368678416 = 58797^2 + 79804^2 .

It is not a de Polignac number, because 9825765625 - 2⁹ = 9825765113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 161078095 + ... + 161078155.

Almost surely, 2^9825765625 is an apocalyptic number.

9825765625 is the 99125-th square number.

9825765625 is the 49563-rd centered octagonal number.

It is an amenable number.

9825765625 is a deficient number, since it is larger than the sum of its proper divisors (3695330834).

9825765625 is an frugal number, since it uses more digits than its factorization.

9825765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 79 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 55.

The cubic root of 9825765625 is about 2141.8487550437.

The spelling of 9825765625 in words is "nine billion, eight hundred twenty-five million, seven hundred sixty-five thousand, six hundred twenty-five".