10765586525321 has 2 divisors, whose sum is σ = 10765586525322. Its totient is φ = 10765586525320.

The previous prime is 10765586525311. The next prime is 10765586525363. The reversal of 10765586525321 is 12352568556701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10758163841296 + 7422684025 = 3279964^2 + 86155^2 .

It is a cyclic number.

It is not a de Polignac number, because 10765586525321 - 2¹⁸ = 10765586263177 is a prime.

It is a super-3 number, since 3×10765586525321³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10765586525311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5382793262660 + 5382793262661.

It is an arithmetic number, because the mean of its divisors is an integer number (5382793262661).

Almost surely, 2^{10765586525321} is an apocalyptic number.

It is an amenable number.

10765586525321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10765586525321 is an equidigital number, since it uses as much as digits as its factorization.

10765586525321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120000, while the sum is 56.

The spelling of 10765586525321 in words is "ten trillion, seven hundred sixty-five billion, five hundred eighty-six million, five hundred twenty-five thousand, three hundred twenty-one".