516393 has 12 divisors (see below), whose sum is σ = 752388. Its totient is φ = 341280.

The previous prime is 516391. The next prime is 516407. The reversal of 516393 is 393615.

It can be written as a sum of positive squares in 2 ways, for example, as 15129 + 501264 = 123^2 + 708^2 .

It is not a de Polignac number, because 516393 - 2¹ = 516391 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (516391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1471 + ... + 1787.

It is an arithmetic number, because the mean of its divisors is an integer number (62699).

2⁵¹⁶³⁹³ is an apocalyptic number.

It is an amenable number.

516393 is a deficient number, since it is larger than the sum of its proper divisors (235995).

516393 is a wasteful number, since it uses less digits than its factorization.

516393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 501 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 516393 is about 718.6048983969. The cubic root of 516393 is about 80.2281508049.

It can be divided in two parts, 516 and 393, that added together give a palindrome (909).

The spelling of 516393 in words is "five hundred sixteen thousand, three hundred ninety-three".