811503697225 has 27 divisors (see below), whose sum is σ = 1089702408693. Its totient is φ = 599221028640.

The previous prime is 811503697177. The next prime is 811503697237. The reversal of 811503697225 is 522796305118.

The square root of 811503697225 is 900835.

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 209166278409 + 602337418816 = 457347^2 + 776104^2 .

It is not a de Polignac number, because 811503697225 - 2⁹ = 811503696713 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 26 ways as a sum of consecutive naturals, for example, 58547346 + ... + 58561204.

Almost surely, 2^811503697225 is an apocalyptic number.

811503697225 is the 900835-th square number.

811503697225 is the 450418-th centered octagonal number.

It is an amenable number.

811503697225 is a deficient number, since it is larger than the sum of its proper divisors (278198711468).

811503697225 is an frugal number, since it uses more digits than its factorization.

811503697225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27754 (or 13877 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

Multiplying 811503697225 by its sum of digits (49), we get a square (39763681164025 = 6305845²).

The spelling of 811503697225 in words is "eight hundred eleven billion, five hundred three million, six hundred ninety-seven thousand, two hundred twenty-five".