10801652761 has 9 divisors (see below), whose sum is σ = 11063273151. Its totient is φ = 10546086432.

The previous prime is 10801652747. The next prime is 10801652773. The reversal of 10801652761 is 16725610801.

The square root of 10801652761 is 103931.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10517528025 + 284124736 = 102555^2 + 16856^2 .

It is not a de Polignac number, because 10801652761 - 2²⁵ = 10768098329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10801652761.

It is not an unprimeable number, because it can be changed into a prime (10801622761) 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 8 ways as a sum of consecutive naturals, for example, 4467825 + ... + 4470241.

Almost surely, 2^10801652761 is an apocalyptic number.

10801652761 is the 103931-st square number.

10801652761 is the 51966-th centered octagonal number.

It is an amenable number.

10801652761 is a deficient number, since it is larger than the sum of its proper divisors (261620390).

10801652761 is an frugal number, since it uses more digits than its factorization.

10801652761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 10801652761 in words is "ten billion, eight hundred one million, six hundred fifty-two thousand, seven hundred sixty-one".