675656141656577 has 8 divisors (see below), whose sum is σ = 682637282873832. Its totient is φ = 668680715664000.

The previous prime is 675656141656553. The next prime is 675656141656603. The reversal of 675656141656577 is 775656141656576.

It can be written as a sum of positive squares in 4 ways, for example, as 243065685838096 + 432590455818481 = 15590564^2 + 20798809^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 675656141656577 - 2¹⁰ = 675656141655553 is a prime.

It is a super-3 number, since 3×675656141656577³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 675656141656498 and 675656141656507.

It is not an unprimeable number, because it can be changed into a prime (675656141655577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1428568508 + ... + 1429041389.

It is an arithmetic number, because the mean of its divisors is an integer number (85329660359229).

Almost surely, 2^{675656141656577} is an apocalyptic number.

It is an amenable number.

675656141656577 is a deficient number, since it is larger than the sum of its proper divisors (6981141217255).

675656141656577 is a wasteful number, since it uses less digits than its factorization.

675656141656577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857612339.

The product of its digits is 6667920000, while the sum is 77.

Subtracting 675656141656577 from its reverse (775656141656576), we obtain a palindrome (99999999999999).

The spelling of 675656141656577 in words is "six hundred seventy-five trillion, six hundred fifty-six billion, one hundred forty-one million, six hundred fifty-six thousand, five hundred seventy-seven".