5193048016767 has 32 divisors (see below), whose sum is σ = 7913298032640. Its totient is φ = 3000886709760.

The previous prime is 5193048016759. The next prime is 5193048016789. The reversal of 5193048016767 is 7676108403915.

It is a happy number.

It is not a de Polignac number, because 5193048016767 - 2³ = 5193048016759 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5193048016727) 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 31 ways as a sum of consecutive naturals, for example, 8629959 + ... + 9212072.

It is an arithmetic number, because the mean of its divisors is an integer number (247290563520).

Almost surely, 2^{5193048016767} is an apocalyptic number.

5193048016767 is a deficient number, since it is larger than the sum of its proper divisors (2720250015873).

5193048016767 is a wasteful number, since it uses less digits than its factorization.

5193048016767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17842503.

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 5193048016767 in words is "five trillion, one hundred ninety-three billion, forty-eight million, sixteen thousand, seven hundred sixty-seven".