51957414 has 48 divisors (see below), whose sum is σ = 120373344. Its totient is φ = 16156800.

The previous prime is 51957413. The next prime is 51957427. The reversal of 51957414 is 41475915.

51957414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51957413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15444 + ... + 18504.

It is an arithmetic number, because the mean of its divisors is an integer number (2507778).

Almost surely, 2^51957414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51957414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60186672).

51957414 is an abundant number, since it is smaller than the sum of its proper divisors (68415930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51957414 is a wasteful number, since it uses less digits than its factorization.

51957414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3130 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 51957414 is about 7208.1491383017. The cubic root of 51957414 is about 373.1491950843.

The spelling of 51957414 in words is "fifty-one million, nine hundred fifty-seven thousand, four hundred fourteen".