225117225264649 has 81 divisors (see below), whose sum is σ = 243329552024391. Its totient is φ = 208256629785120.

The previous prime is 225117225264641. The next prime is 225117225264697. The reversal of 225117225264649 is 946462522711522.

The square root of 225117225264649 is 15003907.

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

It can be written as a sum of positive squares in only one way, i.e., 201437984623225 + 23679240641424 = 14192885^2 + 4866132^2 .

It is not a de Polignac number, because 225117225264649 - 2³ = 225117225264641 is a prime.

It is a super-2 number, since 2×225117225264649² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225117225264593 and 225117225264602.

It is not an unprimeable number, because it can be changed into a prime (225117225264641) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 1772576576824 + ... + 1772576576950.

It is an arithmetic number, because the mean of its divisors is an integer number (3004068543511).

Almost surely, 2^{225117225264649} is an apocalyptic number.

225117225264649 is the 15003907-th square number.

225117225264649 is the 7501954-th centered octagonal number.

It is an amenable number.

225117225264649 is a deficient number, since it is larger than the sum of its proper divisors (18212326759742).

225117225264649 is an frugal number, since it uses more digits than its factorization.

225117225264649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 298 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 58.

The spelling of 225117225264649 in words is "two hundred twenty-five trillion, one hundred seventeen billion, two hundred twenty-five million, two hundred sixty-four thousand, six hundred forty-nine".