5059009505 has 96 divisors (see below), whose sum is σ = 7338885120. Its totient is φ = 3315312000.

The previous prime is 5059009463. The next prime is 5059009507.

It is a happy number.

5059009505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5059009505 - 2¹⁰ = 5059008481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5059009507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64038056 + ... + 64038134.

It is an arithmetic number, because the mean of its divisors is an integer number (76446720).

Almost surely, 2^5059009505 is an apocalyptic number.

5059009505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5059009505 is a deficient number, since it is larger than the sum of its proper divisors (2279875615).

5059009505 is a wasteful number, since it uses less digits than its factorization.

5059009505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 50625, while the sum is 38.

The square root of 5059009505 is about 71126.7144257346. The cubic root of 5059009505 is about 1716.6766440283.

The spelling of 5059009505 in words is "five billion, fifty-nine million, nine thousand, five hundred five".