515257 has 4 divisors (see below), whose sum is σ = 519156. Its totient is φ = 511360.

The previous prime is 515237. The next prime is 515279. The reversal of 515257 is 752515.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 752515 = 5 ⋅150503.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 249001 = 516^2 + 499^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-515257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (515227) 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 3 ways as a sum of consecutive naturals, for example, 1744 + ... + 2017.

It is an arithmetic number, because the mean of its divisors is an integer number (129789).

2⁵¹⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

515257 is a deficient number, since it is larger than the sum of its proper divisors (3899).

515257 is a wasteful number, since it uses less digits than its factorization.

515257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898.

The product of its digits is 1750, while the sum is 25.

The square root of 515257 is about 717.8140427715. The cubic root of 515257 is about 80.1692769803.

It can be divided in two parts, 515 and 257, that multiplied together give a triangular number (132355 = T₅₁₄).

The spelling of 515257 in words is "five hundred fifteen thousand, two hundred fifty-seven".