515993 has 2 divisors, whose sum is σ = 515994. Its totient is φ = 515992.

The previous prime is 515969. The next prime is 516017. The reversal of 515993 is 399515.

It is a balanced prime because it is at equal distance from previous prime (515969) and next prime (516017).

It can be written as a sum of positive squares in only one way, i.e., 405769 + 110224 = 637^2 + 332^2 .

It is a cyclic number.

It is not a de Polignac number, because 515993 - 2⁶ = 515929 is a prime.

It is not a weakly prime, because it can be changed into another prime (515923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 257996 + 257997.

It is an arithmetic number, because the mean of its divisors is an integer number (257997).

2⁵¹⁵⁹⁹³ is an apocalyptic number.

It is an amenable number.

515993 is a deficient number, since it is larger than the sum of its proper divisors (1).

515993 is an equidigital number, since it uses as much as digits as its factorization.

515993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6075, while the sum is 32.

The square root of 515993 is about 718.3265274233. The cubic root of 515993 is about 80.2074304428.

The spelling of 515993 in words is "five hundred fifteen thousand, nine hundred ninety-three".