10883064504601 has 9 divisors (see below), whose sum is σ = 10940385661149. Its totient is φ = 10826042171136.

The previous prime is 10883064504517. The next prime is 10883064504619. The reversal of 10883064504601 is 10640546038801.

The square root of 10883064504601 is 3298949.

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

It can be written as a sum of positive squares in 4 ways, for example, as 522004805001 + 10361059699600 = 722499^2 + 3218860^2 .

It is not a de Polignac number, because 10883064504601 - 2³³ = 10874474570009 is a prime.

It is a super-2 number, since 2×10883064504601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10883064504671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 636688611 + ... + 636705703.

Almost surely, 2^{10883064504601} is an apocalyptic number.

10883064504601 is the 3298949-th square number.

10883064504601 is the 1649475-th centered octagonal number.

It is an amenable number.

10883064504601 is a deficient number, since it is larger than the sum of its proper divisors (57321156548).

10883064504601 is an frugal number, since it uses more digits than its factorization.

10883064504601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34572 (or 17286 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 10883064504601 in words is "ten trillion, eight hundred eighty-three billion, sixty-four million, five hundred four thousand, six hundred one".