509127314137 has 8 divisors (see below), whose sum is σ = 555801789704. Its totient is φ = 463525815168.

The previous prime is 509127314099. The next prime is 509127314159. The reversal of 509127314137 is 731413721905.

It can be written as a sum of positive squares in 4 ways, for example, as 1847194441 + 507280119696 = 42979^2 + 712236^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 509127314137 - 2⁷ = 509127314009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 509127314093 and 509127314102.

It is not an unprimeable number, because it can be changed into a prime (509127314237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268243158 + ... + 268245055.

It is an arithmetic number, because the mean of its divisors is an integer number (69475223713).

Almost surely, 2^509127314137 is an apocalyptic number.

It is an amenable number.

509127314137 is a deficient number, since it is larger than the sum of its proper divisors (46674475567).

509127314137 is a wasteful number, since it uses less digits than its factorization.

509127314137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536488299.

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 509127314137 in words is "five hundred nine billion, one hundred twenty-seven million, three hundred fourteen thousand, one hundred thirty-seven".