10766137601 has 4 divisors (see below), whose sum is σ = 10913619012. Its totient is φ = 10618656192.

The previous prime is 10766137589. The next prime is 10766137649. The reversal of 10766137601 is 10673166701.

It is a Cunningham number, because it is equal to 103760²+1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10673166701 = 59083 ⋅180647.

It can be written as a sum of positive squares in 2 ways, for example, as 6111486976 + 4654650625 = 78176^2 + 68225^2 .

It is a cyclic number.

It is not a de Polignac number, because 10766137601 - 2¹⁸ = 10765875457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10766134601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73740596 + ... + 73740741.

It is an arithmetic number, because the mean of its divisors is an integer number (2728404753).

Almost surely, 2^10766137601 is an apocalyptic number.

It is an amenable number.

10766137601 is a deficient number, since it is larger than the sum of its proper divisors (147481411).

10766137601 is an equidigital number, since it uses as much as digits as its factorization.

10766137601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147481410.

The product of its (nonzero) digits is 31752, while the sum is 38.

The spelling of 10766137601 in words is "ten billion, seven hundred sixty-six million, one hundred thirty-seven thousand, six hundred one".