17138355340561 has 24 divisors (see below), whose sum is σ = 21477828542184. Its totient is φ = 13555090483200.

The previous prime is 17138355340559. The next prime is 17138355340621. The reversal of 17138355340561 is 16504355383171.

It can be written as a sum of positive squares in 4 ways, for example, as 5386897098961 + 11751458241600 = 2320969^2 + 3428040^2 .

It is not a de Polignac number, because 17138355340561 - 2¹ = 17138355340559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 17138355340499 and 17138355340508.

It is not an unprimeable number, because it can be changed into a prime (17138355340541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3132790 + ... + 6640111.

It is an arithmetic number, because the mean of its divisors is an integer number (894909522591).

Almost surely, 2^{17138355340561} is an apocalyptic number.

It is an amenable number.

17138355340561 is a deficient number, since it is larger than the sum of its proper divisors (4339473201623).

17138355340561 is a wasteful number, since it uses less digits than its factorization.

17138355340561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9775681 (or 9775674 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 17138355340561 in words is "seventeen trillion, one hundred thirty-eight billion, three hundred fifty-five million, three hundred forty thousand, five hundred sixty-one".