51577 has 2 divisors, whose sum is σ = 51578. Its totient is φ = 51576.

The previous prime is 51563. The next prime is 51581. The reversal of 51577 is 77515.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44521 + 7056 = 211^2 + 84^2 .

It is a cyclic number.

It is not a de Polignac number, because 51577 - 2⁷ = 51449 is a prime.

It is not a weakly prime, because it can be changed into another prime (51517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25788 + 25789.

It is an arithmetic number, because the mean of its divisors is an integer number (25789).

2⁵¹⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

51577 is a deficient number, since it is larger than the sum of its proper divisors (1).

51577 is an equidigital number, since it uses as much as digits as its factorization.

51577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1225, while the sum is 25.

The square root of 51577 is about 227.1057022622. The cubic root of 51577 is about 37.2236274149.

The spelling of 51577 in words is "fifty-one thousand, five hundred seventy-seven".