10913502066481 has 135 divisors (see below), whose sum is σ = 14302109476893. Its totient is φ = 8302768763520.

The previous prime is 10913502066463. The next prime is 10913502066487. The reversal of 10913502066481 is 18466020531901.

The square root of 10913502066481 is 3303559.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3387039032881 + 7526463033600 = 1840391^2 + 2743440^2 .

It is not a de Polignac number, because 10913502066481 - 2⁷ = 10913502066353 is a prime.

It is a super-2 number, since 2×10913502066481² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10913502066487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 153711296676 + ... + 153711296746.

Almost surely, 2^{10913502066481} is an apocalyptic number.

10913502066481 is the 3303559-th square number.

10913502066481 is the 1651780-th centered octagonal number.

It is an amenable number.

10913502066481 is a deficient number, since it is larger than the sum of its proper divisors (3388607410412).

10913502066481 is an frugal number, since it uses more digits than its factorization.

10913502066481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 10913502066481 in words is "ten trillion, nine hundred thirteen billion, five hundred two million, sixty-six thousand, four hundred eighty-one".