8007307040753 has 2 divisors, whose sum is σ = 8007307040754. Its totient is φ = 8007307040752.

The previous prime is 8007307040741. The next prime is 8007307040767. The reversal of 8007307040753 is 3570407037008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7838051321104 + 169255719649 = 2799652^2 + 411407^2 .

It is a cyclic number.

It is not a de Polignac number, because 8007307040753 - 2²⁴ = 8007290263537 is a prime.

It is a super-3 number, since 3×8007307040753³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (8007307040713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003653520376 + 4003653520377.

It is an arithmetic number, because the mean of its divisors is an integer number (4003653520377).

Almost surely, 2^{8007307040753} is an apocalyptic number.

It is an amenable number.

8007307040753 is a deficient number, since it is larger than the sum of its proper divisors (1).

8007307040753 is an equidigital number, since it uses as much as digits as its factorization.

8007307040753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 493920, while the sum is 44.

The spelling of 8007307040753 in words is "eight trillion, seven billion, three hundred seven million, forty thousand, seven hundred fifty-three".