10505585551 has 2 divisors, whose sum is σ = 10505585552. Its totient is φ = 10505585550.

The previous prime is 10505585539. The next prime is 10505585561. The reversal of 10505585551 is 15558550501.

10505585551 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10505585551 - 2⁷ = 10505585423 is a prime.

It is a super-2 number, since 2×10505585551² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10505585561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252792775 + 5252792776.

It is an arithmetic number, because the mean of its divisors is an integer number (5252792776).

Almost surely, 2^10505585551 is an apocalyptic number.

10505585551 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505585551 is an equidigital number, since it uses as much as digits as its factorization.

10505585551 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125000, while the sum is 40.

The spelling of 10505585551 in words is "ten billion, five hundred five million, five hundred eighty-five thousand, five hundred fifty-one".