225504366129 has 27 divisors (see below), whose sum is σ = 378925453803. Its totient is φ = 128853939312.

The previous prime is 225504366119. The next prime is 225504366137. The reversal of 225504366129 is 921663405522.

The square root of 225504366129 is 474873.

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

225504366129 is a `hidden beast` number, since 2 + 2 + 550 + 4 + 36 + 61 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98235230625 + 127269135504 = 313425^2 + 356748^2 .

It is not a de Polignac number, because 225504366129 - 2⁵ = 225504366097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225504366119) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9961027 + ... + 9983639.

Almost surely, 2^225504366129 is an apocalyptic number.

225504366129 is the 474873-rd square number.

225504366129 is the 237437-th centered octagonal number.

It is an amenable number.

225504366129 is a deficient number, since it is larger than the sum of its proper divisors (153421087674).

225504366129 is an frugal number, since it uses more digits than its factorization.

225504366129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45246 (or 22623 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 225504366129 in words is "two hundred twenty-five billion, five hundred four million, three hundred sixty-six thousand, one hundred twenty-nine".