10506610261659 has 16 divisors (see below), whose sum is σ = 14020468429824. Its totient is φ = 6998580045600.

The previous prime is 10506610261639. The next prime is 10506610261673. The reversal of 10506610261659 is 95616201660501.

It is not a de Polignac number, because 10506610261659 - 2¹¹ = 10506610259611 is a prime.

It is a super-2 number, since 2×10506610261659² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506610261639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87007894 + ... + 87128564.

It is an arithmetic number, because the mean of its divisors is an integer number (876279276864).

Almost surely, 2^{10506610261659} is an apocalyptic number.

10506610261659 is a deficient number, since it is larger than the sum of its proper divisors (3513858168165).

10506610261659 is a wasteful number, since it uses less digits than its factorization.

10506610261659 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144578.

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 10506610261659 in words is "ten trillion, five hundred six billion, six hundred ten million, two hundred sixty-one thousand, six hundred fifty-nine".