10541431017049 has 9 divisors (see below), whose sum is σ = 10595855355901. Its totient is φ = 10487284850560.

The previous prime is 10541431017011. The next prime is 10541431017083. The reversal of 10541431017049 is 94071013414501.

The square root of 10541431017049 is 3246757.

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 2811540865225 + 7729890151824 = 1676765^2 + 2780268^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10541431017049 is a prime.

It is a super-2 number, since 2×10541431017049² (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 (10541431017749) 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, 639602889 + ... + 639619369.

Almost surely, 2^{10541431017049} is an apocalyptic number.

10541431017049 is the 3246757-th square number.

10541431017049 is the 1623379-th centered octagonal number.

It is an amenable number.

10541431017049 is a deficient number, since it is larger than the sum of its proper divisors (54424338852).

10541431017049 is an frugal number, since it uses more digits than its factorization.

10541431017049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33356 (or 16678 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 10541431017049 in words is "ten trillion, five hundred forty-one billion, four hundred thirty-one million, seventeen thousand, forty-nine".