225142211353201 has 32 divisors (see below), whose sum is σ = 233696777600000. Its totient is φ = 216760667917248.

The previous prime is 225142211353193. The next prime is 225142211353211. The reversal of 225142211353201 is 102353112241522.

It is a cyclic number.

It is not a de Polignac number, because 225142211353201 - 2³ = 225142211353193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225142211353211) 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 31 ways as a sum of consecutive naturals, for example, 837482515 + ... + 837751303.

It is an arithmetic number, because the mean of its divisors is an integer number (7303024300000).

Almost surely, 2^{225142211353201} is an apocalyptic number.

It is an amenable number.

225142211353201 is a deficient number, since it is larger than the sum of its proper divisors (8554566246799).

225142211353201 is a wasteful number, since it uses less digits than its factorization.

225142211353201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269813.

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 225142211353201 its reverse (102353112241522), we get a palindrome (327495323594723).

The spelling of 225142211353201 in words is "two hundred twenty-five trillion, one hundred forty-two billion, two hundred eleven million, three hundred fifty-three thousand, two hundred one".