225300137 has 2 divisors, whose sum is σ = 225300138. Its totient is φ = 225300136.

The previous prime is 225300113. The next prime is 225300161. The reversal of 225300137 is 731003522.

It is a balanced prime because it is at equal distance from previous prime (225300113) and next prime (225300161).

It can be written as a sum of positive squares in only one way, i.e., 191241241 + 34058896 = 13829^2 + 5836^2 .

It is a cyclic number.

It is not a de Polignac number, because 225300137 - 2¹⁴ = 225283753 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (225300107) 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 as a sum of consecutive naturals, namely, 112650068 + 112650069.

It is an arithmetic number, because the mean of its divisors is an integer number (112650069).

Almost surely, 2^225300137 is an apocalyptic number.

It is an amenable number.

225300137 is a deficient number, since it is larger than the sum of its proper divisors (1).

225300137 is an equidigital number, since it uses as much as digits as its factorization.

225300137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 225300137 is about 15010.0012325116. The cubic root of 225300137 is about 608.4905229292.

Adding to 225300137 its reverse (731003522), we get a palindrome (956303659).

The spelling of 225300137 in words is "two hundred twenty-five million, three hundred thousand, one hundred thirty-seven".