223137045257209 has 2 divisors, whose sum is σ = 223137045257210. Its totient is φ = 223137045257208.

The previous prime is 223137045257177. The next prime is 223137045257227. The reversal of 223137045257209 is 902752540731322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176160716228025 + 46976329029184 = 13272555^2 + 6853928^2 .

It is a cyclic number.

It is not a de Polignac number, because 223137045257209 - 2⁵ = 223137045257177 is a prime.

It is a super-3 number, since 3×223137045257209³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223137045267209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111568522628604 + 111568522628605.

It is an arithmetic number, because the mean of its divisors is an integer number (111568522628605).

Almost surely, 2^{223137045257209} is an apocalyptic number.

It is an amenable number.

223137045257209 is a deficient number, since it is larger than the sum of its proper divisors (1).

223137045257209 is an equidigital number, since it uses as much as digits as its factorization.

223137045257209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 223137045257209 in words is "two hundred twenty-three trillion, one hundred thirty-seven billion, forty-five million, two hundred fifty-seven thousand, two hundred nine".