10000516517 has 16 divisors (see below), whose sum is σ = 10589988864. Its totient is φ = 9428400000.

The previous prime is 10000516511. The next prime is 10000516531. The reversal of 10000516517 is 71561500001.

It is a cyclic number.

It is not a de Polignac number, because 10000516517 - 2⁴ = 10000516501 is a prime.

It is a super-2 number, since 2×10000516517² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000516511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949283 + ... + 959759.

It is an arithmetic number, because the mean of its divisors is an integer number (661874304).

Almost surely, 2^10000516517 is an apocalyptic number.

It is an amenable number.

10000516517 is a deficient number, since it is larger than the sum of its proper divisors (589472347).

10000516517 is a wasteful number, since it uses less digits than its factorization.

10000516517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11300.

The product of its (nonzero) digits is 1050, while the sum is 26.

The spelling of 10000516517 in words is "ten billion, five hundred sixteen thousand, five hundred seventeen".