36505834225 has 81 divisors (see below), whose sum is σ = 54196220673. Its totient is φ = 24321810240.

The previous prime is 36505834223. The next prime is 36505834229. The reversal of 36505834225 is 52243850563.

The square root of 36505834225 is 191065.

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 274995889 + 36230838336 = 16583^2 + 190344^2 .

It is not a de Polignac number, because 36505834225 - 2¹ = 36505834223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36505834223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 354425524 + ... + 354425626.

Almost surely, 2^36505834225 is an apocalyptic number.

36505834225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36505834225 is the 191065-th square number.

36505834225 is the 95533-rd centered octagonal number.

It is an amenable number.

36505834225 is a deficient number, since it is larger than the sum of its proper divisors (17690386448).

36505834225 is an equidigital number, since it uses as much as digits as its factorization.

36505834225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 36505834225 in words is "thirty-six billion, five hundred five million, eight hundred thirty-four thousand, two hundred twenty-five".