513257 has 2 divisors, whose sum is σ = 513258. Its totient is φ = 513256.

The previous prime is 513239. The next prime is 513269. The reversal of 513257 is 752315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 440896 + 72361 = 664^2 + 269^2 .

It is a cyclic number.

It is not a de Polignac number, because 513257 - 2⁸ = 513001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256628 + 256629.

It is an arithmetic number, because the mean of its divisors is an integer number (256629).

2⁵¹³²⁵⁷ is an apocalyptic number.

It is an amenable number.

513257 is a deficient number, since it is larger than the sum of its proper divisors (1).

513257 is an equidigital number, since it uses as much as digits as its factorization.

513257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1050, while the sum is 23.

The square root of 513257 is about 716.4195698053. The cubic root of 513257 is about 80.0654152460.

It can be divided in two parts, 513 and 257, that multiplied together give a triangular number (131841 = T₅₁₃).

The spelling of 513257 in words is "five hundred thirteen thousand, two hundred fifty-seven".