225937658241 has 9 divisors (see below), whose sum is σ = 326356455009. Its totient is φ = 150624154836.

The previous prime is 225937658209. The next prime is 225937658299. The reversal of 225937658241 is 142856739522.

The square root of 225937658241 is 475329.

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

225937658241 is a `hidden beast` number, since 2 + 2 + 59 + 3 + 7 + 6 + 582 + 4 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 225937658241 - 2⁵ = 225937658209 is a prime.

It is a super-2 number, since 2×225937658241² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225937258241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1346766 + ... + 1505208.

Almost surely, 2^225937658241 is an apocalyptic number.

225937658241 is the 475329-th square number.

225937658241 is the 237665-th centered octagonal number.

It is an amenable number.

225937658241 is a deficient number, since it is larger than the sum of its proper divisors (100418796768).

225937658241 is an frugal number, since it uses more digits than its factorization.

225937658241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316892 (or 158446 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 225937658241 in words is "two hundred twenty-five billion, nine hundred thirty-seven million, six hundred fifty-eight thousand, two hundred forty-one".