17057139540841 has 9 divisors (see below), whose sum is σ = 17157024322309. Its totient is φ = 16957832993536.

The previous prime is 17057139540827. The next prime is 17057139540877. The reversal of 17057139540841 is 14804593175071.

The square root of 17057139540841 is 4130029.

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 48938730841 + 17008200810000 = 221221^2 + 4124100^2 .

It is not a de Polignac number, because 17057139540841 - 2⁷ = 17057139540713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17057139540041) 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, 714483081 + ... + 714506953.

Almost surely, 2^{17057139540841} is an apocalyptic number.

17057139540841 is the 4130029-th square number.

17057139540841 is the 2065015-th centered octagonal number.

It is an amenable number.

17057139540841 is a deficient number, since it is larger than the sum of its proper divisors (99884781468).

17057139540841 is an frugal number, since it uses more digits than its factorization.

17057139540841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48092 (or 24046 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 55.

The spelling of 17057139540841 in words is "seventeen trillion, fifty-seven billion, one hundred thirty-nine million, five hundred forty thousand, eight hundred forty-one".