10516883751 has 48 divisors (see below), whose sum is σ = 17209640448. Its totient is φ = 6365044800.

The previous prime is 10516883687. The next prime is 10516883771. The reversal of 10516883751 is 15738861501.

10516883751 is a `hidden beast` number, since 1 + 0 + 516 + 8 + 83 + 7 + 51 = 666.

It is not a de Polignac number, because 10516883751 - 2⁶ = 10516883687 is a prime.

It is a super-2 number, since 2×10516883751² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10516883697 and 10516883706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10516883771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2288466 + ... + 2293056.

It is an arithmetic number, because the mean of its divisors is an integer number (358534176).

Almost surely, 2^10516883751 is an apocalyptic number.

10516883751 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10516883751 is a deficient number, since it is larger than the sum of its proper divisors (6692756697).

10516883751 is an equidigital number, since it uses as much as digits as its factorization.

10516883751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 10516883751 in words is "ten billion, five hundred sixteen million, eight hundred eighty-three thousand, seven hundred fifty-one".