51601 has 4 divisors (see below), whose sum is σ = 56304. Its totient is φ = 46900.

The previous prime is 51599. The next prime is 51607. The reversal of 51601 is 10615.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 51601 - 2¹ = 51599 is a prime.

It is a Duffinian number.

51601 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (51607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2335 + ... + 2356.

It is an arithmetic number, because the mean of its divisors is an integer number (14076).

2⁵¹⁶⁰¹ is an apocalyptic number.

It is an amenable number.

51601 is a deficient number, since it is larger than the sum of its proper divisors (4703).

51601 is a wasteful number, since it uses less digits than its factorization.

51601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 51601 is about 227.1585349486. The cubic root of 51601 is about 37.2294001982.

The spelling of 51601 in words is "fifty-one thousand, six hundred one".