51006617 has 8 divisors (see below), whose sum is σ = 54229824. Its totient is φ = 47867248.

The previous prime is 51006611. The next prime is 51006623. The reversal of 51006617 is 71660015.

It is an interprime number because it is at equal distance from previous prime (51006611) and next prime (51006623).

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 51006617 - 2²⁴ = 34229401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51006611) 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 7 ways as a sum of consecutive naturals, for example, 19703 + ... + 22140.

It is an arithmetic number, because the mean of its divisors is an integer number (6778728).

Almost surely, 2^51006617 is an apocalyptic number.

It is an amenable number.

51006617 is a deficient number, since it is larger than the sum of its proper divisors (3223207).

51006617 is a wasteful number, since it uses less digits than its factorization.

51006617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41919.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 51006617 is about 7141.8916961825. The cubic root of 51006617 is about 370.8590145858.

The spelling of 51006617 in words is "fifty-one million, six thousand, six hundred seventeen".