509485089072 has 80 divisors (see below), whose sum is σ = 1390962222720. Its totient is φ = 160248960000.

The previous prime is 509485089037. The next prime is 509485089073. The reversal of 509485089072 is 270980584905.

It is a happy number.

509485089072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (509485089073) 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, 883929 + ... + 1341752.

It is an arithmetic number, because the mean of its divisors is an integer number (17387027784).

Almost surely, 2^509485089072 is an apocalyptic number.

It is an amenable number.

509485089072 is an abundant number, since it is smaller than the sum of its proper divisors (881477133648).

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

509485089072 is a wasteful number, since it uses less digits than its factorization.

509485089072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225962 (or 2225956 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 509485089072 in words is "five hundred nine billion, four hundred eighty-five million, eighty-nine thousand, seventy-two".