509144536272 has 20 divisors (see below), whose sum is σ = 1315290052160. Its totient is φ = 169714845408.

The previous prime is 509144536267. The next prime is 509144536279. The reversal of 509144536272 is 272635441905.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 10607177839 = 509144536272 / (5 + 0 + 9 + 1 + 4 + 4 + 5 + 3 + 6 + 2 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509144536279) 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 3 ways as a sum of consecutive naturals, for example, 5303588872 + ... + 5303588967.

It is an arithmetic number, because the mean of its divisors is an integer number (65764502608).

Almost surely, 2^509144536272 is an apocalyptic number.

It is an amenable number.

509144536272 is an abundant number, since it is smaller than the sum of its proper divisors (806145515888).

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

509144536272 is a wasteful number, since it uses less digits than its factorization.

509144536272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10607177850 (or 10607177844 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 509144536272 in words is "five hundred nine billion, one hundred forty-four million, five hundred thirty-six thousand, two hundred seventy-two".