225018358321 has 9 divisors (see below), whose sum is σ = 225698266521. Its totient is φ = 224340496452.

The previous prime is 225018358297. The next prime is 225018358393. The reversal of 225018358321 is 123853810522.

The square root of 225018358321 is 474361.

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

It is not a de Polignac number, because 225018358321 - 2¹⁹ = 225017834033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225018358121) 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, 248090350 + ... + 248091256.

It is an arithmetic number, because the mean of its divisors is an integer number (25077585169).

Almost surely, 2^225018358321 is an apocalyptic number.

225018358321 is the 474361-st square number.

225018358321 is the 237181-st centered octagonal number.

It is an amenable number.

225018358321 is a deficient number, since it is larger than the sum of its proper divisors (679908200).

225018358321 is an frugal number, since it uses more digits than its factorization.

225018358321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 225018358321 in words is "two hundred twenty-five billion, eighteen million, three hundred fifty-eight thousand, three hundred twenty-one".