10606131567 has 24 divisors (see below), whose sum is σ = 15373644000. Its totient is φ = 7046025408.

The previous prime is 10606131563. The next prime is 10606131577. The reversal of 10606131567 is 76513160601.

10606131567 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 61 + 31 + 567 = 666.

It is not a de Polignac number, because 10606131567 - 2² = 10606131563 is a prime.

It is a super-2 number, since 2×10606131567² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10606131563) 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 23 ways as a sum of consecutive naturals, for example, 6119233 + ... + 6120965.

It is an arithmetic number, because the mean of its divisors is an integer number (640568500).

Almost surely, 2^10606131567 is an apocalyptic number.

10606131567 is a deficient number, since it is larger than the sum of its proper divisors (4767512433).

10606131567 is a wasteful number, since it uses less digits than its factorization.

10606131567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10606131567 in words is "ten billion, six hundred six million, one hundred thirty-one thousand, five hundred sixty-seven".