10512137513 has 2 divisors, whose sum is σ = 10512137514. Its totient is φ = 10512137512.

The previous prime is 10512137399. The next prime is 10512137533. The reversal of 10512137513 is 31573121501.

10512137513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10484121664 + 28015849 = 102392^2 + 5293^2 .

It is a cyclic number.

It is not a de Polignac number, because 10512137513 - 2²⁰ = 10511088937 is a prime.

It is a super-2 number, since 2×10512137513² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10512137533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5256068756 + 5256068757.

It is an arithmetic number, because the mean of its divisors is an integer number (5256068757).

Almost surely, 2^10512137513 is an apocalyptic number.

It is an amenable number.

10512137513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10512137513 is an equidigital number, since it uses as much as digits as its factorization.

10512137513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 29.

The spelling of 10512137513 in words is "ten billion, five hundred twelve million, one hundred thirty-seven thousand, five hundred thirteen".