509145515091 has 12 divisors (see below), whose sum is σ = 735525877632. Its totient is φ = 339387204816.

The previous prime is 509145515057. The next prime is 509145515101. The reversal of 509145515091 is 190515541905.

509145515091 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 4 + 551 + 5 + 0 + 91 = 666.

It is not a de Polignac number, because 509145515091 - 2⁶ = 509145515027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509145515191) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3520051 + ... + 3661836.

It is an arithmetic number, because the mean of its divisors is an integer number (61293823136).

Almost surely, 2^509145515091 is an apocalyptic number.

509145515091 is a deficient number, since it is larger than the sum of its proper divisors (226380362541).

509145515091 is a wasteful number, since it uses less digits than its factorization.

509145515091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7189770 (or 7189767 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 45.

The spelling of 509145515091 in words is "five hundred nine billion, one hundred forty-five million, five hundred fifteen thousand, ninety-one".