509058 has 32 divisors (see below), whose sum is σ = 1235520. Its totient is φ = 154080.

The previous prime is 509053. The next prime is 509063. The reversal of 509058 is 850905.

It is an interprime number because it is at equal distance from previous prime (509053) and next prime (509063).

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

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (509053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (38610).

2⁵⁰⁹⁰⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617760).

509058 is an abundant number, since it is smaller than the sum of its proper divisors (726462).

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

509058 is a wasteful number, since it uses less digits than its factorization.

509058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 509058 is about 713.4830061046. The cubic root of 509058 is about 79.8464764031.

The spelling of 509058 in words is "five hundred nine thousand, fifty-eight".