225213001313009 has 2 divisors, whose sum is σ = 225213001313010. Its totient is φ = 225213001313008.

The previous prime is 225213001312979. The next prime is 225213001313123. The reversal of 225213001313009 is 900313100312522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 224634598474225 + 578402838784 = 14987815^2 + 760528^2 .

It is a cyclic number.

It is not a de Polignac number, because 225213001313009 - 2¹² = 225213001308913 is a prime.

It is not a weakly prime, because it can be changed into another prime (225213001315009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112606500656504 + 112606500656505.

It is an arithmetic number, because the mean of its divisors is an integer number (112606500656505).

Almost surely, 2^{225213001313009} is an apocalyptic number.

It is an amenable number.

225213001313009 is a deficient number, since it is larger than the sum of its proper divisors (1).

225213001313009 is an equidigital number, since it uses as much as digits as its factorization.

225213001313009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 225213001313009 in words is "two hundred twenty-five trillion, two hundred thirteen billion, one million, three hundred thirteen thousand, nine".