225152153012221 has 16 divisors (see below), whose sum is σ = 233064587574000. Its totient is φ = 217249667002368.

The previous prime is 225152153012153. The next prime is 225152153012251. The reversal of 225152153012221 is 122210351251522.

It can be written as a sum of positive squares in 8 ways, for example, as 1828688244100 + 223323464768121 = 1352290^2 + 14944011^2 .

It is a cyclic number.

It is not a de Polignac number, because 225152153012221 - 2³⁵ = 225117793273853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225152153012251) 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, 288026305 + ... + 288806953.

It is an arithmetic number, because the mean of its divisors is an integer number (14566536723375).

Almost surely, 2^{225152153012221} is an apocalyptic number.

It is an amenable number.

225152153012221 is a deficient number, since it is larger than the sum of its proper divisors (7912434561779).

225152153012221 is a wasteful number, since it uses less digits than its factorization.

225152153012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787008.

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 225152153012221 in words is "two hundred twenty-five trillion, one hundred fifty-two billion, one hundred fifty-three million, twelve thousand, two hundred twenty-one".