225398007121 has 15 divisors (see below), whose sum is σ = 262975837211. Its totient is φ = 193178351856.

The previous prime is 225398007103. The next prime is 225398007139. The reversal of 225398007121 is 121700893522.

The square root of 225398007121 is 474761.

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

It is an interprime number because it is at equal distance from previous prime (225398007103) and next prime (225398007139).

It can be written as a sum of positive squares in only one way, i.e., 125819893521 + 99578113600 = 354711^2 + 315560^2 .

It is not a de Polignac number, because 225398007121 - 2¹¹ = 225398005073 is a prime.

It is a super-2 number, since 2×225398007121² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225398007101) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23258445 + ... + 23268133.

Almost surely, 2^225398007121 is an apocalyptic number.

225398007121 is the 474761-st square number.

225398007121 is the 237381-st centered octagonal number.

It is an amenable number.

225398007121 is a deficient number, since it is larger than the sum of its proper divisors (37577830090).

225398007121 is an frugal number, since it uses more digits than its factorization.

225398007121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19406 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 225398007121 in words is "two hundred twenty-five billion, three hundred ninety-eight million, seven thousand, one hundred twenty-one".