5016516561 has 18 divisors (see below), whose sum is σ = 8429113602. Its totient is φ = 2866580640.

The previous prime is 5016516559. The next prime is 5016516563. The reversal of 5016516561 is 1656156105.

It is an interprime number because it is at equal distance from previous prime (5016516559) and next prime (5016516563).

It can be written as a sum of positive squares in only one way, i.e., 2811650625 + 2204865936 = 53025^2 + 46956^2 .

It is not a de Polignac number, because 5016516561 - 2¹ = 5016516559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5016516563) 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 17 ways as a sum of consecutive naturals, for example, 5687220 + ... + 5688101.

It is an arithmetic number, because the mean of its divisors is an integer number (468284089).

Almost surely, 2^5016516561 is an apocalyptic number.

It is an amenable number.

5016516561 is a deficient number, since it is larger than the sum of its proper divisors (3412597041).

5016516561 is a wasteful number, since it uses less digits than its factorization.

5016516561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11375341 (or 11375331 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 5016516561 is about 70827.3715522467. The cubic root of 5016516561 is about 1711.8567387154.

The spelling of 5016516561 in words is "five billion, sixteen million, five hundred sixteen thousand, five hundred sixty-one".