10506206529 has 24 divisors (see below), whose sum is σ = 18677701952. Its totient is φ = 5541734880.

The previous prime is 10506206521. The next prime is 10506206539. The reversal of 10506206529 is 92560260501.

10506206529 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 620 + 6 + 5 + 29 = 666.

It is not a de Polignac number, because 10506206529 - 2³ = 10506206521 is a prime.

It is a super-2 number, since 2×10506206529² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506206493 and 10506206502.

It is not an unprimeable number, because it can be changed into a prime (10506206521) 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, 6413227 + ... + 6414864.

Almost surely, 2^10506206529 is an apocalyptic number.

It is an amenable number.

10506206529 is a deficient number, since it is larger than the sum of its proper divisors (8171495423).

10506206529 is a wasteful number, since it uses less digits than its factorization.

10506206529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12828117 (or 12828114 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10506206529 in words is "ten billion, five hundred six million, two hundred six thousand, five hundred twenty-nine".