10511315513 has 2 divisors, whose sum is σ = 10511315514. Its totient is φ = 10511315512.

The previous prime is 10511315453. The next prime is 10511315539. The reversal of 10511315513 is 31551311501.

10511315513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10511315539) can be obtained adding 10511315513 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10469996329 + 41319184 = 102323^2 + 6428^2 .

It is a cyclic number.

It is not a de Polignac number, because 10511315513 - 2⁶ = 10511315449 is a prime.

It is a super-2 number, since 2×10511315513² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10511315593) 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, 5255657756 + 5255657757.

It is an arithmetic number, because the mean of its divisors is an integer number (5255657757).

Almost surely, 2^10511315513 is an apocalyptic number.

It is an amenable number.

10511315513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10511315513 is an equidigital number, since it uses as much as digits as its factorization.

10511315513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1125, while the sum is 26.

The spelling of 10511315513 in words is "ten billion, five hundred eleven million, three hundred fifteen thousand, five hundred thirteen".