225405603361 has 3 divisors (see below), whose sum is σ = 225406078131. Its totient is φ = 225405128592.

The previous prime is 225405603349. The next prime is 225405603413. The reversal of 225405603361 is 163306504522.

The square root of 225405603361 is 474769.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 2659361761 + 222746241600 = 51569^2 + 471960^2 .

It is not a de Polignac number, because 225405603361 - 2²⁵ = 225372048929 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225405603361.

It is not an unprimeable number, because it can be changed into a prime (225405603331) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 237385 + ... + 712153.

It is an arithmetic number, because the mean of its divisors is an integer number (75135359377).

Almost surely, 2^225405603361 is an apocalyptic number.

225405603361 is the 474769-th square number.

225405603361 is the 237385-th centered octagonal number.

It is an amenable number.

225405603361 is a deficient number, since it is larger than the sum of its proper divisors (474770).

225405603361 is an frugal number, since it uses more digits than its factorization.

225405603361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949538 (or 474769 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 225405603361 in words is "two hundred twenty-five billion, four hundred five million, six hundred three thousand, three hundred sixty-one".