10751564761 has 12 divisors (see below), whose sum is σ = 12544054068. Its totient is φ = 9188266752.

The previous prime is 10751564743. The next prime is 10751564771. The reversal of 10751564761 is 16746515701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3888270736 + 6863294025 = 62356^2 + 82845^2 .

It is not a de Polignac number, because 10751564761 - 2¹⁵ = 10751531993 is a prime.

It is a super-2 number, since 2×10751564761² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10751564741) 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 11 ways as a sum of consecutive naturals, for example, 309036 + ... + 342061.

It is an arithmetic number, because the mean of its divisors is an integer number (1045337839).

Almost surely, 2^10751564761 is an apocalyptic number.

It is an amenable number.

10751564761 is a deficient number, since it is larger than the sum of its proper divisors (1792489307).

10751564761 is an equidigital number, since it uses as much as digits as its factorization.

10751564761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651448 (or 651441 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 10751564761 in words is "ten billion, seven hundred fifty-one million, five hundred sixty-four thousand, seven hundred sixty-one".