31253226146561 has 2 divisors, whose sum is σ = 31253226146562. Its totient is φ = 31253226146560.

The previous prime is 31253226146533. The next prime is 31253226146587. The reversal of 31253226146561 is 16564162235213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30815332936336 + 437893210225 = 5551156^2 + 661735^2 .

It is an emirp because it is prime and its reverse (16564162235213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31253226146561 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (31253226142561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15626613073280 + 15626613073281.

It is an arithmetic number, because the mean of its divisors is an integer number (15626613073281).

Almost surely, 2^{31253226146561} is an apocalyptic number.

It is an amenable number.

31253226146561 is a deficient number, since it is larger than the sum of its proper divisors (1).

31253226146561 is an equidigital number, since it uses as much as digits as its factorization.

31253226146561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1555200, while the sum is 47.

The spelling of 31253226146561 in words is "thirty-one trillion, two hundred fifty-three billion, two hundred twenty-six million, one hundred forty-six thousand, five hundred sixty-one".