507393 has 6 divisors (see below), whose sum is σ = 732914. Its totient is φ = 338256.

The previous prime is 507383. The next prime is 507401. The reversal of 507393 is 393705.

It can be written as a sum of positive squares in only one way, i.e., 288369 + 219024 = 537^2 + 468^2 .

It is not a de Polignac number, because 507393 - 2⁵ = 507361 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28180 + ... + 28197.

2⁵⁰⁷³⁹³ is an apocalyptic number.

It is an amenable number.

507393 is a deficient number, since it is larger than the sum of its proper divisors (225521).

507393 is a wasteful number, since it uses less digits than its factorization.

507393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56383 (or 56380 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 507393 is about 712.3152392024. The cubic root of 507393 is about 79.7593287764.

It can be divided in two parts, 507 and 393, that added together give a square (900 = 30²).

The spelling of 507393 in words is "five hundred seven thousand, three hundred ninety-three".