509141378231 has 32 divisors (see below), whose sum is σ = 527335391232. Its totient is φ = 491376562560.

The previous prime is 509141378219. The next prime is 509141378261. The reversal of 509141378231 is 132873141905.

It is a cyclic number.

It is not a de Polignac number, because 509141378231 - 2¹⁰ = 509141377207 is a prime.

It is a super-2 number, since 2×509141378231² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509141378201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416304686 + ... + 416305908.

It is an arithmetic number, because the mean of its divisors is an integer number (16479230976).

Almost surely, 2^509141378231 is an apocalyptic number.

509141378231 is a deficient number, since it is larger than the sum of its proper divisors (18194013001).

509141378231 is a wasteful number, since it uses less digits than its factorization.

509141378231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 509141378231 in words is "five hundred nine billion, one hundred forty-one million, three hundred seventy-eight thousand, two hundred thirty-one".