509034536049 has 32 divisors (see below), whose sum is σ = 788156611200. Its totient is φ = 289526883840.

The previous prime is 509034536033. The next prime is 509034536057. The reversal of 509034536049 is 940635430905.

It is not a de Polignac number, because 509034536049 - 2⁴ = 509034536033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509034535989 and 509034536007.

It is not an unprimeable number, because it can be changed into a prime (509034536029) 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 31 ways as a sum of consecutive naturals, for example, 8347134 + ... + 8407895.

It is an arithmetic number, because the mean of its divisors is an integer number (24629894100).

Almost surely, 2^509034536049 is an apocalyptic number.

It is an amenable number.

509034536049 is a deficient number, since it is larger than the sum of its proper divisors (279122075151).

509034536049 is a wasteful number, since it uses less digits than its factorization.

509034536049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16755105.

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 509034536049 in words is "five hundred nine billion, thirty-four million, five hundred thirty-six thousand, forty-nine".