225561267001221 has 16 divisors (see below), whose sum is σ = 307147825152000. Its totient is φ = 147174455258288.

The previous prime is 225561267001207. The next prime is 225561267001261. The reversal of 225561267001221 is 122100762165522.

225561267001221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 225561267001221 - 2²⁵ = 225561233446789 is a prime.

It is a super-2 number, since 2×225561267001221² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225561267001201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99314080 + ... + 101559878.

It is an arithmetic number, because the mean of its divisors is an integer number (19196739072000).

Almost surely, 2^{225561267001221} is an apocalyptic number.

It is an amenable number.

225561267001221 is a deficient number, since it is larger than the sum of its proper divisors (81586558150779).

225561267001221 is a wasteful number, since it uses less digits than its factorization.

225561267001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958168.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 225561267001221 in words is "two hundred twenty-five trillion, five hundred sixty-one billion, two hundred sixty-seven million, one thousand, two hundred twenty-one".