810945275625 has 45 divisors (see below), whose sum is σ = 1463860118721. Its totient is φ = 432468126000.

The previous prime is 810945275593. The next prime is 810945275627. The reversal of 810945275625 is 526572549018.

The square root of 810945275625 is 900525.

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

810945275625 is a `hidden beast` number, since 8 + 1 + 0 + 9 + 4 + 5 + 2 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63578109609 + 747367166016 = 252147^2 + 864504^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 810945275625 - 2⁵ = 810945275593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (810945275627) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 67533372 + ... + 67545378.

Almost surely, 2^810945275625 is an apocalyptic number.

810945275625 is the 900525-th square number.

810945275625 is the 450263-rd centered octagonal number.

It is an amenable number.

810945275625 is a deficient number, since it is larger than the sum of its proper divisors (652914843096).

810945275625 is an frugal number, since it uses more digits than its factorization.

810945275625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24040 (or 12015 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 810945275625 in words is "eight hundred ten billion, nine hundred forty-five million, two hundred seventy-five thousand, six hundred twenty-five".