2261226567337 has 2 divisors, whose sum is σ = 2261226567338. Its totient is φ = 2261226567336.

The previous prime is 2261226567319. The next prime is 2261226567373. The reversal of 2261226567337 is 7337656221622.

Together with next prime (2261226567373) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1157558658201 + 1103667909136 = 1075899^2 + 1050556^2 .

It is a cyclic number.

It is not a de Polignac number, because 2261226567337 - 2³¹ = 2259079083689 is a prime.

It is a super-2 number, since 2×2261226567337² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2261226567037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1130613283668 + 1130613283669.

It is an arithmetic number, because the mean of its divisors is an integer number (1130613283669).

Almost surely, 2^{2261226567337} is an apocalyptic number.

It is an amenable number.

2261226567337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261226567337 is an equidigital number, since it uses as much as digits as its factorization.

2261226567337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7620480, while the sum is 52.

The spelling of 2261226567337 in words is "two trillion, two hundred sixty-one billion, two hundred twenty-six million, five hundred sixty-seven thousand, three hundred thirty-seven".