36268277959225 has 45 divisors (see below), whose sum is σ = 48727092477947. Its totient is φ = 26778970414560.

The previous prime is 36268277959213. The next prime is 36268277959261. The reversal of 36268277959225 is 52295977286263.

The square root of 36268277959225 is 6022315.

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

36268277959225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 35584792159401 + 683485799824 = 5965299^2 + 826732^2 .

It is not a de Polignac number, because 36268277959225 - 2⁹ = 36268277958713 is a prime.

It is a super-2 number, since 2×36268277959225² (a number of 28 digits) contains 22 as substring.

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 44 ways as a sum of consecutive naturals, for example, 5088852612 + ... + 5088859738.

Almost surely, 2^{36268277959225} is an apocalyptic number.

36268277959225 is the 6022315-th square number.

36268277959225 is the 3011158-th centered octagonal number.

It is an amenable number.

36268277959225 is a deficient number, since it is larger than the sum of its proper divisors (12458814518722).

36268277959225 is an frugal number, since it uses more digits than its factorization.

36268277959225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14316 (or 7145 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 73.

The spelling of 36268277959225 in words is "thirty-six trillion, two hundred sixty-eight billion, two hundred seventy-seven million, nine hundred fifty-nine thousand, two hundred twenty-five".