5105165952 has 64 divisors (see below), whose sum is σ = 13641969600. Its totient is φ = 1691510784.

The previous prime is 5105165921. The next prime is 5105165971. The reversal of 5105165952 is 2595615015.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5105165952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24324 + ... + 103932.

It is an arithmetic number, because the mean of its divisors is an integer number (213155775).

Almost surely, 2^5105165952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820984800).

5105165952 is an abundant number, since it is smaller than the sum of its proper divisors (8536803648).

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

5105165952 is a wasteful number, since it uses less digits than its factorization.

5105165952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79793 (or 79781 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 39.

The square root of 5105165952 is about 71450.4440294110. Note that the first 3 decimals coincide. The cubic root of 5105165952 is about 1721.8816112943.

The spelling of 5105165952 in words is "five billion, one hundred five million, one hundred sixty-five thousand, nine hundred fifty-two".