51413 has 2 divisors, whose sum is σ = 51414. Its totient is φ = 51412.

The previous prime is 51407. The next prime is 51419. The reversal of 51413 is 31415.

51413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (51407) and next prime (51419).

It can be written as a sum of positive squares in only one way, i.e., 40804 + 10609 = 202^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 51413 - 2⁶ = 51349 is a prime.

It is a plaindrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51419) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25706 + 25707.

It is an arithmetic number, because the mean of its divisors is an integer number (25707).

2⁵¹⁴¹³ is an apocalyptic number.

It is an amenable number.

51413 is a deficient number, since it is larger than the sum of its proper divisors (1).

51413 is an equidigital number, since it uses as much as digits as its factorization.

51413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 60, while the sum is 14.

The square root of 51413 is about 226.7443494335. The cubic root of 51413 is about 37.1841320538.

Adding to 51413 its reverse (31415), we get a palindrome (82828).

It can be divided in two parts, 51 and 413, that added together give a palindrome (464).

The spelling of 51413 in words is "fifty-one thousand, four hundred thirteen".