225153137213 has 8 divisors (see below), whose sum is σ = 238406042232. Its totient is φ = 211901188096.

The previous prime is 225153137197. The next prime is 225153137239. The reversal of 225153137213 is 312731351522.

225153137213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4349006809 + 220804130404 = 65947^2 + 469898^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 225153137213 - 2⁴ = 225153137197 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 (225153137273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277931 + ... + 726327.

It is an arithmetic number, because the mean of its divisors is an integer number (29800755279).

Almost surely, 2^225153137213 is an apocalyptic number.

It is an amenable number.

225153137213 is a deficient number, since it is larger than the sum of its proper divisors (13252905019).

225153137213 is a wasteful number, since it uses less digits than its factorization.

225153137213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477951.

The product of its digits is 37800, while the sum is 35.

Adding to 225153137213 its reverse (312731351522), we get a palindrome (537884488735).

The spelling of 225153137213 in words is "two hundred twenty-five billion, one hundred fifty-three million, one hundred thirty-seven thousand, two hundred thirteen".