509282885042496 has 70 divisors (see below), whose sum is σ = 1509674015148090. Its totient is φ = 169760961679104.

The previous prime is 509282885042471. The next prime is 509282885042497. The reversal of 509282885042496 is 694240588282905.

509282885042496 is a `hidden beast` number, since 5 + 0 + 9 + 2 + 8 + 2 + 8 + 8 + 504 + 24 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 306588893702400 + 202693991340096 = 17509680^2 + 14237064^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509282885042497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49120643451 + ... + 49120653818.

Almost surely, 2^{509282885042496} is an apocalyptic number.

It is an amenable number.

509282885042496 is an abundant number, since it is smaller than the sum of its proper divisors (1000391130105594).

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

509282885042496 is an equidigital number, since it uses as much as digits as its factorization.

509282885042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98241297293 (or 98241297274 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 509282885042496 in words is "five hundred nine trillion, two hundred eighty-two billion, eight hundred eighty-five million, forty-two thousand, four hundred ninety-six".