10506206527 has 16 divisors (see below), whose sum is σ = 10670044320. Its totient is φ = 10343918592.

The previous prime is 10506206521. The next prime is 10506206539. The reversal of 10506206527 is 72560260501.

It is a cyclic number.

It is not a de Polignac number, because 10506206527 - 2¹⁵ = 10506173759 is a prime.

It is a super-2 number, since 2×10506206527² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10506206492 and 10506206501.

It is a congruent number.

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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20088088 + ... + 20088610.

It is an arithmetic number, because the mean of its divisors is an integer number (666877770).

Almost surely, 2^10506206527 is an apocalyptic number.

10506206527 is a deficient number, since it is larger than the sum of its proper divisors (163837793).

10506206527 is a wasteful number, since it uses less digits than its factorization.

10506206527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482.

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 10506206527 in words is "ten billion, five hundred six million, two hundred six thousand, five hundred twenty-seven".