509355 has 64 divisors (see below), whose sum is σ = 1152000. Its totient is φ = 211680.

The previous prime is 509329. The next prime is 509359. The reversal of 509355 is 553905.

It is not a de Polignac number, because 509355 - 2⁷ = 509227 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

509355 is a lucky number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46300 + ... + 46310.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2⁵⁰⁹³⁵⁵ is an apocalyptic number.

509355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

509355 is an abundant number, since it is smaller than the sum of its proper divisors (642645).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509355 is a wasteful number, since it uses less digits than its factorization.

509355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 509355 is about 713.6911096546. The cubic root of 509355 is about 79.8620016760.

The spelling of 509355 in words is "five hundred nine thousand, three hundred fifty-five".