7271771761 has 2 divisors, whose sum is σ = 7271771762. Its totient is φ = 7271771760.

The previous prime is 7271771723. The next prime is 7271771797. The reversal of 7271771761 is 1671771727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7268585536 + 3186225 = 85256^2 + 1785^2 .

It is an emirp because it is prime and its reverse (1671771727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7271771761 - 2¹⁵ = 7271738993 is a prime.

It is a super-2 number, since 2×7271771761² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7271771861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3635885880 + 3635885881.

It is an arithmetic number, because the mean of its divisors is an integer number (3635885881).

Almost surely, 2^7271771761 is an apocalyptic number.

It is an amenable number.

7271771761 is a deficient number, since it is larger than the sum of its proper divisors (1).

7271771761 is an equidigital number, since it uses as much as digits as its factorization.

7271771761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 201684, while the sum is 46.

The square root of 7271771761 is about 85274.6841741440. The cubic root of 7271771761 is about 1937.3737589672.

The spelling of 7271771761 in words is "seven billion, two hundred seventy-one million, seven hundred seventy-one thousand, seven hundred sixty-one".