5005006001 has 2 divisors, whose sum is σ = 5005006002. Its totient is φ = 5005006000.

The previous prime is 5005005953. The next prime is 5005006009. The reversal of 5005006001 is 1006005005.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4539525376 + 465480625 = 67376^2 + 21575^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005006001 - 2⁶ = 5005005937 is a prime.

It is a super-3 number, since 3×5005006001³ (a number of 30 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (5005006009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502503000 + 2502503001.

It is an arithmetic number, because the mean of its divisors is an integer number (2502503001).

Almost surely, 2^5005006001 is an apocalyptic number.

It is an amenable number.

5005006001 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005006001 is an equidigital number, since it uses as much as digits as its factorization.

5005006001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5005006001 is about 70746.0670355604. The cubic root of 5005006001 is about 1710.5464324155.

The spelling of 5005006001 in words is "five billion, five million, six thousand, one".