509377 has 4 divisors (see below), whose sum is σ = 555696. Its totient is φ = 463060.

The previous prime is 509363. The next prime is 509389. The reversal of 509377 is 773905.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 509377 - 2¹¹ = 507329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23143 + ... + 23164.

It is an arithmetic number, because the mean of its divisors is an integer number (138924).

2⁵⁰⁹³⁷⁷ is an apocalyptic number.

It is an amenable number.

509377 is a deficient number, since it is larger than the sum of its proper divisors (46319).

509377 is a wasteful number, since it uses less digits than its factorization.

509377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46318.

The product of its (nonzero) digits is 6615, while the sum is 31.

The square root of 509377 is about 713.7065223185. The cubic root of 509377 is about 79.8631514561.

The spelling of 509377 in words is "five hundred nine thousand, three hundred seventy-seven".