10516100513 has 2 divisors, whose sum is σ = 10516100514. Its totient is φ = 10516100512.

The previous prime is 10516100501. The next prime is 10516100531. The reversal of 10516100513 is 31500161501.

Together with next prime (10516100531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10292508304 + 223592209 = 101452^2 + 14953^2 .

It is a cyclic number.

It is not a de Polignac number, because 10516100513 - 2²⁶ = 10448991649 is a prime.

It is a super-2 number, since 2×10516100513² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10516100213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5258050256 + 5258050257.

It is an arithmetic number, because the mean of its divisors is an integer number (5258050257).

Almost surely, 2^10516100513 is an apocalyptic number.

It is an amenable number.

10516100513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10516100513 is an equidigital number, since it uses as much as digits as its factorization.

10516100513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 23.

The spelling of 10516100513 in words is "ten billion, five hundred sixteen million, one hundred thousand, five hundred thirteen".