509552086284 has 48 divisors (see below), whose sum is σ = 1366614799200. Its totient is φ = 163993773888.

The previous prime is 509552086217. The next prime is 509552086289. The reversal of 509552086284 is 482680255905.

509552086284 is a `hidden beast` number, since 5 + 0 + 9 + 5 + 5 + 2 + 0 + 8 + 628 + 4 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 509552086284.

It is not an unprimeable number, because it can be changed into a prime (509552086289) 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, 81342987 + ... + 81349250.

It is an arithmetic number, because the mean of its divisors is an integer number (28471141650).

Almost surely, 2^509552086284 is an apocalyptic number.

509552086284 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

509552086284 is an abundant number, since it is smaller than the sum of its proper divisors (857062712916).

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

509552086284 is a wasteful number, since it uses less digits than its factorization.

509552086284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162692279 (or 162692271 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 509552086284 in words is "five hundred nine billion, five hundred fifty-two million, eighty-six thousand, two hundred eighty-four".