536944545225 has 81 divisors (see below), whose sum is σ = 1057343345877. Its totient is φ = 260278128000.

The previous prime is 536944545223. The next prime is 536944545239. The reversal of 536944545225 is 522545449635.

The square root of 536944545225 is 732765.

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

536944545225 is a `hidden beast` number, since 5 + 3 + 6 + 94 + 4 + 545 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34677515961 + 502267029264 = 186219^2 + 708708^2 .

It is not a de Polignac number, because 536944545225 - 2¹ = 536944545223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (536944545223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 120904005 + ... + 120908445.

Almost surely, 2^536944545225 is an apocalyptic number.

536944545225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

536944545225 is the 732765-th square number.

536944545225 is the 366383-rd centered octagonal number.

It is an amenable number.

536944545225 is a deficient number, since it is larger than the sum of its proper divisors (520398800652).

536944545225 is an equidigital number, since it uses as much as digits as its factorization.

536944545225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8920 (or 4460 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 536944545225 in words is "five hundred thirty-six billion, nine hundred forty-four million, five hundred forty-five thousand, two hundred twenty-five".