5517251347689 has 15 divisors (see below), whose sum is σ = 8241851493997. Its totient is φ = 3678153471828.

The previous prime is 5517251347687. The next prime is 5517251347757. The reversal of 5517251347689 is 9867431527155.

The square root of 5517251347689 is 2348883.

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

5517251347689 is a `hidden beast` number, since 5 + 5 + 1 + 72 + 5 + 13 + 476 + 89 = 666.

It is not a de Polignac number, because 5517251347689 - 2¹ = 5517251347687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5517251347687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 21009454 + ... + 21270440.

Almost surely, 2^{5517251347689} is an apocalyptic number.

5517251347689 is the 2348883-rd square number.

5517251347689 is the 1174442-nd centered octagonal number.

It is an amenable number.

5517251347689 is a deficient number, since it is larger than the sum of its proper divisors (2724600146308).

5517251347689 is an frugal number, since it uses more digits than its factorization.

5517251347689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521986 (or 260990 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The spelling of 5517251347689 in words is "five trillion, five hundred seventeen billion, two hundred fifty-one million, three hundred forty-seven thousand, six hundred eighty-nine".