10523506005 has 24 divisors (see below), whose sum is σ = 19313730072. Its totient is φ = 5282386944.

The previous prime is 10523505989. The next prime is 10523506009. The reversal of 10523506005 is 50060532501.

10523506005 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 3 + 50 + 600 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4107015396 + 6416490609 = 64086^2 + 80103^2 .

It is not a de Polignac number, because 10523506005 - 2⁴ = 10523505989 is a prime.

It is a super-2 number, since 2×10523506005² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10523506005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523506009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6877344 + ... + 6878873.

It is an arithmetic number, because the mean of its divisors is an integer number (804738753).

Almost surely, 2^10523506005 is an apocalyptic number.

10523506005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10523506005 is a deficient number, since it is larger than the sum of its proper divisors (8790224067).

10523506005 is a wasteful number, since it uses less digits than its factorization.

10523506005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13756245 (or 13756242 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 10523506005 in words is "ten billion, five hundred twenty-three million, five hundred six thousand, five".