10005505513 has 2 divisors, whose sum is σ = 10005505514. Its totient is φ = 10005505512.

The previous prime is 10005505459. The next prime is 10005505577. The reversal of 10005505513 is 31550550001.

10005505513 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8845966809 + 1159538704 = 94053^2 + 34052^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005505513 - 2⁹ = 10005505001 is a prime.

It is a super-2 number, since 2×10005505513² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10005505313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002752756 + 5002752757.

It is an arithmetic number, because the mean of its divisors is an integer number (5002752757).

Almost surely, 2^10005505513 is an apocalyptic number.

It is an amenable number.

10005505513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005505513 is an equidigital number, since it uses as much as digits as its factorization.

10005505513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1875, while the sum is 25.

The spelling of 10005505513 in words is "ten billion, five million, five hundred five thousand, five hundred thirteen".