51051 has 32 divisors (see below), whose sum is σ = 96768. Its totient is φ = 23040.

The previous prime is 51047. The next prime is 51059. The reversal of 51051 is 15015.

Added to its reverse (15015) it gives a triangular number (66066 = T₃₆₃).

It is not a de Polignac number, because 51051 - 2² = 51047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2995 + ... + 3011.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2⁵¹⁰⁵¹ is an apocalyptic number.

51051 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

51051 is a deficient number, since it is larger than the sum of its proper divisors (45717).

51051 is a wasteful number, since it uses less digits than its factorization.

51051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 51051 is about 225.9446834958. The cubic root of 51051 is about 37.0966550070.

Adding to 51051 its product of nonzero digits (25), we get a square (51076 = 226²).

Adding to 51051 its reverse (15015), we get a palindrome (66066).

It can be divided in two parts, 510 and 51, that added together give a triangular number (561 = T₃₃).

The spelling of 51051 in words is "fifty-one thousand, fifty-one".