5105735167 has 16 divisors (see below), whose sum is σ = 5541244128. Its totient is φ = 4676474880.

The previous prime is 5105735111. The next prime is 5105735183. The reversal of 5105735167 is 7615375015.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5105735167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105735567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965643 + ... + 970915.

It is an arithmetic number, because the mean of its divisors is an integer number (346327758).

Almost surely, 2^5105735167 is an apocalyptic number.

5105735167 is a deficient number, since it is larger than the sum of its proper divisors (435508961).

5105735167 is a wasteful number, since it uses less digits than its factorization.

5105735167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850.

The product of its (nonzero) digits is 110250, while the sum is 40.

The square root of 5105735167 is about 71454.4272036380. The cubic root of 5105735167 is about 1721.9456042788.

The spelling of 5105735167 in words is "five billion, one hundred five million, seven hundred thirty-five thousand, one hundred sixty-seven".