51961 has 8 divisors (see below), whose sum is σ = 64064. Its totient is φ = 41040.

The previous prime is 51949. The next prime is 51971. The reversal of 51961 is 16915.

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 51961 - 2⁵ = 51929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 376.

It is an arithmetic number, because the mean of its divisors is an integer number (8008).

2⁵¹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

51961 is a deficient number, since it is larger than the sum of its proper divisors (12103).

51961 is a wasteful number, since it uses less digits than its factorization.

51961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591.

The product of its digits is 270, while the sum is 22.

The square root of 51961 is about 227.9495558232. The cubic root of 51961 is about 37.3157779565.

The spelling of 51961 in words is "fifty-one thousand, nine hundred sixty-one".