10005001000073 has 2 divisors, whose sum is σ = 10005001000074. Its totient is φ = 10005001000072.

The previous prime is 10005000999989. The next prime is 10005001000091. The reversal of 10005001000073 is 37000010050001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9746933952064 + 258067048009 = 3122008^2 + 508003^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005001000073 - 2¹⁴ = 10005000983689 is a prime.

It is a super-2 number, since 2×10005001000073² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10005001000873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002500500036 + 5002500500037.

It is an arithmetic number, because the mean of its divisors is an integer number (5002500500037).

Almost surely, 2^{10005001000073} is an apocalyptic number.

It is an amenable number.

10005001000073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005001000073 is an equidigital number, since it uses as much as digits as its factorization.

10005001000073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 17.

Adding to 10005001000073 its reverse (37000010050001), we get a palindrome (47005011050074).

The spelling of 10005001000073 in words is "ten trillion, five billion, one million, seventy-three", and thus it is an aban number and an uban number.