225390411009 has 27 divisors (see below), whose sum is σ = 343641968163. Its totient is φ = 142334747424.

The previous prime is 225390410929. The next prime is 225390411017. The reversal of 225390411009 is 900114093522.

The square root of 225390411009 is 474753.

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

225390411009 is a `hidden beast` number, since 2 + 2 + 539 + 0 + 4 + 110 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27721251009 + 197669160000 = 166497^2 + 444600^2 .

It is not a de Polignac number, because 225390411009 - 2¹³ = 225390402817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225390411019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27056757 + ... + 27065085.

Almost surely, 2^225390411009 is an apocalyptic number.

225390411009 is the 474753-rd square number.

225390411009 is the 237377-th centered octagonal number.

It is an amenable number.

225390411009 is a deficient number, since it is larger than the sum of its proper divisors (118251557154).

225390411009 is an frugal number, since it uses more digits than its factorization.

225390411009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16702 (or 8351 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 225390411009 by its sum of digits (36), we get a square (8114054796324 = 2848518²).

The spelling of 225390411009 in words is "two hundred twenty-five billion, three hundred ninety million, four hundred eleven thousand, nine".