10511413506 has 72 divisors (see below), whose sum is σ = 25109416332. Its totient is φ = 3175603200.

The previous prime is 10511413481. The next prime is 10511413519. The reversal of 10511413506 is 60531411501.

10511413506 is a `hidden beast` number, since 10 + 5 + 1 + 141 + 3 + 506 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8446529025 + 2064884481 = 91905^2 + 45441^2 .

It is a super-2 number, since 2×10511413506² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10511413506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 726826 + ... + 741146.

Almost surely, 2^10511413506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10511413506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554708166).

10511413506 is an abundant number, since it is smaller than the sum of its proper divisors (14598002826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10511413506 is a wasteful number, since it uses less digits than its factorization.

10511413506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14688 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10511413506 in words is "ten billion, five hundred eleven million, four hundred thirteen thousand, five hundred six".