811965025 has 27 divisors (see below), whose sum is σ = 1039470393. Its totient is φ = 629169600.

The previous prime is 811965023. The next prime is 811965041. The reversal of 811965025 is 520569118.

The square root of 811965025 is 28495.

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 341769169 + 470195856 = 18487^2 + 21684^2 .

It is not a de Polignac number, because 811965025 - 2¹ = 811965023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (811965023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5841406 + ... + 5841544.

Almost surely, 2^811965025 is an apocalyptic number.

811965025 is the 28495-th square number.

811965025 is the 14248-th centered octagonal number.

It is an amenable number.

811965025 is a deficient number, since it is larger than the sum of its proper divisors (227505368).

811965025 is an equidigital number, since it uses as much as digits as its factorization.

811965025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

The cubic root of 811965025 is about 932.9229442230.

The spelling of 811965025 in words is "eight hundred eleven million, nine hundred sixty-five thousand, twenty-five".