509141600191 has 8 divisors (see below), whose sum is σ = 581888492064. Its totient is φ = 436397802720.

The previous prime is 509141600183. The next prime is 509141600203. The reversal of 509141600191 is 191006141905.

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

It is a cyclic number.

It is not a de Polignac number, because 509141600191 - 2³ = 509141600183 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 509141600191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509141600161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 409600 + ... + 1089061.

It is an arithmetic number, because the mean of its divisors is an integer number (72736061508).

Almost surely, 2^509141600191 is an apocalyptic number.

509141600191 is a deficient number, since it is larger than the sum of its proper divisors (72746891873).

509141600191 is a wasteful number, since it uses less digits than its factorization.

509141600191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547201.

The product of its (nonzero) digits is 9720, while the sum is 37.

The spelling of 509141600191 in words is "five hundred nine billion, one hundred forty-one million, six hundred thousand, one hundred ninety-one".