10505555005031 has 2 divisors, whose sum is σ = 10505555005032. Its totient is φ = 10505555005030.

The previous prime is 10505555005007. The next prime is 10505555005069. The reversal of 10505555005031 is 13050055550501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10505555005031 is a prime.

It is a super-3 number, since 3×10505555005031³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10505555004982 and 10505555005000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10505555005091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252777502515 + 5252777502516.

It is an arithmetic number, because the mean of its divisors is an integer number (5252777502516).

Almost surely, 2^{10505555005031} is an apocalyptic number.

10505555005031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505555005031 is an equidigital number, since it uses as much as digits as its factorization.

10505555005031 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 10505555005031 in words is "ten trillion, five hundred five billion, five hundred fifty-five million, five thousand, thirty-one".