20716132761 has 9 divisors (see below), whose sum is σ = 29923926591. Its totient is φ = 13810467312.

The previous prime is 20716132751. The next prime is 20716132777. The reversal of 20716132761 is 16723161702.

It is a happy number.

The square root of 20716132761 is 143931.

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., 20688507225 + 27625536 = 143835^2 + 5256^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 20716132761 - 2⁹ = 20716132249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20716132721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 407805 + ... + 455781.

Almost surely, 2^20716132761 is an apocalyptic number.

20716132761 is the 143931-st square number.

20716132761 is the 71966-th centered octagonal number.

It is an amenable number.

20716132761 is a deficient number, since it is larger than the sum of its proper divisors (9207793830).

20716132761 is an frugal number, since it uses more digits than its factorization.

20716132761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95960 (or 47980 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Multiplying 20716132761 by its sum of digits (36), we get a square (745780779396 = 863586²).

The spelling of 20716132761 in words is "twenty billion, seven hundred sixteen million, one hundred thirty-two thousand, seven hundred sixty-one".