5217727617 has 32 divisors (see below), whose sum is σ = 8228304000. Its totient is φ = 3258351360.

The previous prime is 5217727597. The next prime is 5217727621. The reversal of 5217727617 is 7167277125.

5217727617 is a `hidden beast` number, since 5 + 2 + 1 + 7 + 7 + 27 + 617 = 666.

It is not a de Polignac number, because 5217727617 - 2⁶ = 5217727553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5217727657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11484 + ... + 102797.

It is an arithmetic number, because the mean of its divisors is an integer number (257134500).

Almost surely, 2^5217727617 is an apocalyptic number.

5217727617 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

5217727617 is a deficient number, since it is larger than the sum of its proper divisors (3010576383).

5217727617 is a wasteful number, since it uses less digits than its factorization.

5217727617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114398 (or 114392 counting only the distinct ones).

The product of its digits is 288120, while the sum is 45.

The square root of 5217727617 is about 72233.8398328650. The cubic root of 5217727617 is about 1734.4447411079. Note that the first 3 decimals are identical.

The spelling of 5217727617 in words is "five billion, two hundred seventeen million, seven hundred twenty-seven thousand, six hundred seventeen".