10506255505603 has 64 divisors (see below), whose sum is σ = 13145836032000. Its totient is φ = 8263043712000.

The previous prime is 10506255505591. The next prime is 10506255505609. The reversal of 10506255505603 is 30650555260501.

It is not a de Polignac number, because 10506255505603 - 2⁹ = 10506255505091 is a prime.

It is a super-2 number, since 2×10506255505603² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10506255505603.

It is not an unprimeable number, because it can be changed into a prime (10506255505609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33680118 + ... + 33990628.

It is an arithmetic number, because the mean of its divisors is an integer number (205403688000).

Almost surely, 2^{10506255505603} is an apocalyptic number.

10506255505603 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10506255505603 is a deficient number, since it is larger than the sum of its proper divisors (2639580526397).

10506255505603 is a wasteful number, since it uses less digits than its factorization.

10506255505603 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310804.

The product of its (nonzero) digits is 675000, while the sum is 43.

The spelling of 10506255505603 in words is "ten trillion, five hundred six billion, two hundred fifty-five million, five hundred five thousand, six hundred three".