10312065761 has 16 divisors (see below), whose sum is σ = 10528116048. Its totient is φ = 10098816000.

The previous prime is 10312065749. The next prime is 10312065779. The reversal of 10312065761 is 16756021301.

It can be written as a sum of positive squares in 8 ways, for example, as 1519440400 + 8792625361 = 38980^2 + 93769^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312065761 - 2³⁰ = 9238323937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10312065721) 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, 4329791 + ... + 4332171.

It is an arithmetic number, because the mean of its divisors is an integer number (658007253).

Almost surely, 2^10312065761 is an apocalyptic number.

It is an amenable number.

10312065761 is a deficient number, since it is larger than the sum of its proper divisors (216050287).

10312065761 is a wasteful number, since it uses less digits than its factorization.

10312065761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 10312065761 in words is "ten billion, three hundred twelve million, sixty-five thousand, seven hundred sixty-one".