51157 has 2 divisors, whose sum is σ = 51158. Its totient is φ = 51156.

The previous prime is 51151. The next prime is 51169. The reversal of 51157 is 75115.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 81 = 226^2 + 9^2 .

It is a cyclic number.

It is not a de Polignac number, because 51157 - 2¹¹ = 49109 is a prime.

It is a Chen prime.

51157 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25578 + 25579.

It is an arithmetic number, because the mean of its divisors is an integer number (25579).

2⁵¹¹⁵⁷ is an apocalyptic number.

It is an amenable number.

51157 is a deficient number, since it is larger than the sum of its proper divisors (1).

51157 is an equidigital number, since it uses as much as digits as its factorization.

51157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 175, while the sum is 19.

The square root of 51157 is about 226.1791325476. The cubic root of 51157 is about 37.1223125324.

The spelling of 51157 in words is "fifty-one thousand, one hundred fifty-seven".