10505501105959 has 2 divisors, whose sum is σ = 10505501105960. Its totient is φ = 10505501105958.

The previous prime is 10505501105929. The next prime is 10505501106031. The reversal of 10505501105959 is 95950110550501.

It is a weak prime.

It is an emirp because it is prime and its reverse (95950110550501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10505501105959 - 2³⁵ = 10471141367591 is a prime.

It is a super-2 number, since 2×10505501105959² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10505501105929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252750552979 + 5252750552980.

It is an arithmetic number, because the mean of its divisors is an integer number (5252750552980).

Almost surely, 2^{10505501105959} is an apocalyptic number.

10505501105959 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505501105959 is an equidigital number, since it uses as much as digits as its factorization.

10505501105959 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 253125, while the sum is 46.

The spelling of 10505501105959 in words is "ten trillion, five hundred five billion, five hundred one million, one hundred five thousand, nine hundred fifty-nine".