10005011 has 2 divisors, whose sum is σ = 10005012. Its totient is φ = 10005010.

The previous prime is 10005007. The next prime is 10005013. The reversal of 10005011 is 11050001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10005011 - 2² = 10005007 is a prime.

It is a super-2 number, since 2×10005011² = 200200490220242, which contains 22 as substring.

Together with 10005013, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10005011.

It is not a weakly prime, because it can be changed into another prime (10005013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002505 + 5002506.

It is an arithmetic number, because the mean of its divisors is an integer number (5002506).

Almost surely, 2^10005011 is an apocalyptic number.

10005011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005011 is an equidigital number, since it uses as much as digits as its factorization.

10005011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 10005011 is about 3163.0698696045. The cubic root of 10005011 is about 215.4794492347.

Adding to 10005011 its reverse (11050001), we get a palindrome (21055012).

The spelling of 10005011 in words is "ten million, five thousand, eleven".