8007073141 has 2 divisors, whose sum is σ = 8007073142. Its totient is φ = 8007073140.

The previous prime is 8007073133. The next prime is 8007073153. The reversal of 8007073141 is 1413707008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7217182116 + 789891025 = 84954^2 + 28105^2 .

It is a cyclic number.

It is not a de Polignac number, because 8007073141 - 2³ = 8007073133 is a prime.

It is a super-2 number, since 2×8007073141² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8007071141) 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, 4003536570 + 4003536571.

It is an arithmetic number, because the mean of its divisors is an integer number (4003536571).

Almost surely, 2^8007073141 is an apocalyptic number.

It is an amenable number.

8007073141 is a deficient number, since it is larger than the sum of its proper divisors (1).

8007073141 is an equidigital number, since it uses as much as digits as its factorization.

8007073141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 8007073141 is about 89482.2504243160. The cubic root of 8007073141 is about 2000.5892547890.

The spelling of 8007073141 in words is "eight billion, seven million, seventy-three thousand, one hundred forty-one".