51357 has 16 divisors (see below), whose sum is σ = 77760. Its totient is φ = 29952.

The previous prime is 51349. The next prime is 51361. The reversal of 51357 is 75315.

It is a happy number.

51357 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51357 - 2³ = 51349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51307) 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, 943 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁵¹³⁵⁷ is an apocalyptic number.

51357 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

51357 is a deficient number, since it is larger than the sum of its proper divisors (26403).

51357 is a wasteful number, since it uses less digits than its factorization.

51357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92.

The product of its digits is 525, while the sum is 21.

The square root of 51357 is about 226.6208286985. The cubic root of 51357 is about 37.1706265987.

It can be divided in two parts, 513 and 57, that multiplied together give a square (29241 = 171²).

The spelling of 51357 in words is "fifty-one thousand, three hundred fifty-seven".