10505555513 has 2 divisors, whose sum is σ = 10505555514. Its totient is φ = 10505555512.

The previous prime is 10505555503. The next prime is 10505555581. The reversal of 10505555513 is 31555550501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10057682944 + 447872569 = 100288^2 + 21163^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505555513 - 2¹⁶ = 10505489977 is a prime.

It is a super-2 number, since 2×10505555513² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10505555503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252777756 + 5252777757.

It is an arithmetic number, because the mean of its divisors is an integer number (5252777757).

Almost surely, 2^10505555513 is an apocalyptic number.

It is an amenable number.

10505555513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505555513 is an equidigital number, since it uses as much as digits as its factorization.

10505555513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46875, while the sum is 35.

The spelling of 10505555513 in words is "ten billion, five hundred five million, five hundred fifty-five thousand, five hundred thirteen".