51121 has 8 divisors (see below), whose sum is σ = 59840. Its totient is φ = 42768.

The previous prime is 51109. The next prime is 51131. The reversal of 51121 is 12115.

It is a happy number.

51121 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

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 51121 - 2⁷ = 50993 is a prime.

It is a super-2 number, since 2×51121² = 5226713282, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 51098 and 51107.

It is not an unprimeable number, because it can be changed into a prime (51131) 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, 415 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (7480).

2⁵¹¹²¹ is an apocalyptic number.

It is an amenable number.

51121 is a deficient number, since it is larger than the sum of its proper divisors (8719).

51121 is a wasteful number, since it uses less digits than its factorization.

51121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183.

The product of its digits is 10, while the sum is 10.

The square root of 51121 is about 226.0995356032. The cubic root of 51121 is about 37.1136026338.

Adding to 51121 its reverse (12115), we get a palindrome (63236).

It can be divided in two parts, 511 and 21, that multiplied together give a triangular number (10731 = T₁₄₆).

The spelling of 51121 in words is "fifty-one thousand, one hundred twenty-one".