1000510013 has 2 divisors, whose sum is σ = 1000510014. Its totient is φ = 1000510012.

The previous prime is 1000510001. The next prime is 1000510033. The reversal of 1000510013 is 3100150001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 955860889 + 44649124 = 30917^2 + 6682^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000510013 - 2⁴ = 1000509997 is a prime.

It is a super-2 number, since 2×1000510013² = 2002040572226520338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000509976 and 1000510003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000510033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500255006 + 500255007.

It is an arithmetic number, because the mean of its divisors is an integer number (500255007).

Almost surely, 2^1000510013 is an apocalyptic number.

It is an amenable number.

1000510013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000510013 is an equidigital number, since it uses as much as digits as its factorization.

1000510013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 1000510013 is about 31630.8395873394. The cubic root of 1000510013 is about 1000.1699754400.

Adding to 1000510013 its reverse (3100150001), we get a palindrome (4100660014).

The spelling of 1000510013 in words is "one billion, five hundred ten thousand, thirteen".