225057536667361 has 8 divisors (see below), whose sum is σ = 227586850250760. Its totient is φ = 222528235911168.

The previous prime is 225057536667259. The next prime is 225057536667377. The reversal of 225057536667361 is 163766635750522.

It can be written as a sum of positive squares in 4 ways, for example, as 2311433715600 + 222746102951761 = 1520340^2 + 14924681^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 225057536667361 - 2²³ = 225057528278753 is a prime.

It is a super-3 number, since 3×225057536667361³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225057536667293 and 225057536667302.

It is not an unprimeable number, because it can be changed into a prime (225057536667391) 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 7 ways as a sum of consecutive naturals, for example, 34567345 + ... + 40558801.

It is an arithmetic number, because the mean of its divisors is an integer number (28448356281345).

Almost surely, 2^{225057536667361} is an apocalyptic number.

It is an amenable number.

225057536667361 is a deficient number, since it is larger than the sum of its proper divisors (2529313583399).

225057536667361 is an equidigital number, since it uses as much as digits as its factorization.

225057536667361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413603.

The product of its (nonzero) digits is 285768000, while the sum is 64.

The spelling of 225057536667361 in words is "two hundred twenty-five trillion, fifty-seven billion, five hundred thirty-six million, six hundred sixty-seven thousand, three hundred sixty-one".