202312221313249 has 2 divisors, whose sum is σ = 202312221313250. Its totient is φ = 202312221313248.

The previous prime is 202312221313217. The next prime is 202312221313289. The reversal of 202312221313249 is 942313122213202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167112112024225 + 35200109289024 = 12927185^2 + 5932968^2 .

It is a cyclic number.

It is not a de Polignac number, because 202312221313249 - 2⁵ = 202312221313217 is a prime.

It is not a weakly prime, because it can be changed into another prime (202312221313289) 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 as a sum of consecutive naturals, namely, 101156110656624 + 101156110656625.

It is an arithmetic number, because the mean of its divisors is an integer number (101156110656625).

Almost surely, 2^{202312221313249} is an apocalyptic number.

It is an amenable number.

202312221313249 is a deficient number, since it is larger than the sum of its proper divisors (1).

202312221313249 is an equidigital number, since it uses as much as digits as its factorization.

202312221313249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 202312221313249 in words is "two hundred two trillion, three hundred twelve billion, two hundred twenty-one million, three hundred thirteen thousand, two hundred forty-nine".