10516005071 has 16 divisors (see below), whose sum is σ = 12376506240. Its totient is φ = 8808877920.

The previous prime is 10516005023. The next prime is 10516005091. The reversal of 10516005071 is 17050061501.

10516005071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10516005071 - 2²² = 10511810767 is a prime.

It is a super-2 number, since 2×10516005071² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10516005071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10516005001) 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 15 ways as a sum of consecutive naturals, for example, 15200 + ... + 145818.

It is an arithmetic number, because the mean of its divisors is an integer number (773531640).

Almost surely, 2^10516005071 is an apocalyptic number.

10516005071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10516005071 is a deficient number, since it is larger than the sum of its proper divisors (1860501169).

10516005071 is a wasteful number, since it uses less digits than its factorization.

10516005071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131206.

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

Adding to 10516005071 its reverse (17050061501), we get a palindrome (27566066572).

The spelling of 10516005071 in words is "ten billion, five hundred sixteen million, five thousand, seventy-one".