509555046 has 128 divisors (see below), whose sum is σ = 1405910016. Its totient is φ = 118817280.

The previous prime is 509554979. The next prime is 509555069. The reversal of 509555046 is 640555905.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 509554995 and 509555013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221076 + ... + 223368.

It is an arithmetic number, because the mean of its divisors is an integer number (10983672).

Almost surely, 2^509555046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509555046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702955008).

509555046 is an abundant number, since it is smaller than the sum of its proper divisors (896354970).

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

509555046 is a wasteful number, since it uses less digits than its factorization.

509555046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366.

The product of its (nonzero) digits is 135000, while the sum is 39.

The square root of 509555046 is about 22573.3259844446. The cubic root of 509555046 is about 798.7245540861.

It can be divided in two parts, 509 and 555046, that added together give a palindrome (555555).

The spelling of 509555046 in words is "five hundred nine million, five hundred fifty-five thousand, forty-six".