51415 has 16 divisors (see below), whose sum is σ = 76608. Its totient is φ = 32256.

The previous prime is 51413. The next prime is 51419.

It is a happy number.

51415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51415 - 2¹ = 51413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2⁵¹⁴¹⁵ is an apocalyptic number.

51415 is a deficient number, since it is larger than the sum of its proper divisors (25193).

51415 is a wasteful number, since it uses less digits than its factorization.

51415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 100, while the sum is 16.

The square root of 51415 is about 226.7487596438. The cubic root of 51415 is about 37.1846142101.

Adding to 51415 its product of digits (100), we get a palindrome (51515).

Subtracting from 51415 its product of digits (100), we obtain a palindrome (51315).

It can be divided in two parts, 514 and 15, that added together give a square (529 = 23²).

The spelling of 51415 in words is "fifty-one thousand, four hundred fifteen".