1307061412801 has 2 divisors, whose sum is σ = 1307061412802. Its totient is φ = 1307061412800.

The previous prime is 1307061412799. The next prime is 1307061412819. The reversal of 1307061412801 is 1082141607031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1070842084225 + 236219328576 = 1034815^2 + 486024^2 .

It is an emirp because it is prime and its reverse (1082141607031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1307061412801 - 2¹ = 1307061412799 is a prime.

It is a super-2 number, since 2×1307061412801² (a number of 25 digits) contains 22 as substring.

Together with 1307061412799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1307061412901) 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, 653530706400 + 653530706401.

It is an arithmetic number, because the mean of its divisors is an integer number (653530706401).

Almost surely, 2^{1307061412801} is an apocalyptic number.

It is an amenable number.

1307061412801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1307061412801 is an equidigital number, since it uses as much as digits as its factorization.

1307061412801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 1307061412801 in words is "one trillion, three hundred seven billion, sixty-one million, four hundred twelve thousand, eight hundred one".