10000007513 has 2 divisors, whose sum is σ = 10000007514. Its totient is φ = 10000007512.

The previous prime is 10000007491. The next prime is 10000007557. The reversal of 10000007513 is 31570000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9938494864 + 61512649 = 99692^2 + 7843^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000007513 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10000007491 and 10000007500.

It is not a weakly prime, because it can be changed into another prime (10000037513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000003756 + 5000003757.

It is an arithmetic number, because the mean of its divisors is an integer number (5000003757).

Almost surely, 2^10000007513 is an apocalyptic number.

It is an amenable number.

10000007513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000007513 is an equidigital number, since it uses as much as digits as its factorization.

10000007513 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10000007513 its reverse (31570000001), we get a palindrome (41570007514).

The spelling of 10000007513 in words is "ten billion, seven thousand, five hundred thirteen".