617670261117 has 72 divisors (see below), whose sum is σ = 1147897250136. Its totient is φ = 316998468864.

The previous prime is 617670261083. The next prime is 617670261119. The reversal of 617670261117 is 711162076716.

It is a happy number.

617670261117 is a `hidden beast` number, since 6 + 17 + 6 + 7 + 0 + 2 + 611 + 17 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38520342756 + 579149918361 = 196266^2 + 761019^2 .

It is not a de Polignac number, because 617670261117 - 2¹² = 617670257021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617670261119) 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 71 ways as a sum of consecutive naturals, for example, 1243818 + ... + 1668059.

It is an arithmetic number, because the mean of its divisors is an integer number (15943017363).

Almost surely, 2^617670261117 is an apocalyptic number.

It is an amenable number.

617670261117 is a deficient number, since it is larger than the sum of its proper divisors (530226989019).

617670261117 is a wasteful number, since it uses less digits than its factorization.

617670261117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911947 (or 2911937 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 617670261117 in words is "six hundred seventeen billion, six hundred seventy million, two hundred sixty-one thousand, one hundred seventeen".