71283083870761 has 27 divisors (see below), whose sum is σ = 88087018310949. Its totient is φ = 57504870584448.

The previous prime is 71283083870753. The next prime is 71283083870777. The reversal of 71283083870761 is 16707838038217.

The square root of 71283083870761 is 8442931.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19410765235225 + 51872318635536 = 4405765^2 + 7202244^2 .

It is not a de Polignac number, because 71283083870761 - 2³ = 71283083870753 is a prime.

It is a super-2 number, since 2×71283083870761² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71283083870761.

It is not an unprimeable number, because it can be changed into a prime (71283083870161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1004673315 + ... + 1004744263.

Almost surely, 2^{71283083870761} is an apocalyptic number.

71283083870761 is the 8442931-st square number.

71283083870761 is the 4221466-th centered octagonal number.

It is an amenable number.

71283083870761 is a deficient number, since it is larger than the sum of its proper divisors (16803934440188).

71283083870761 is an frugal number, since it uses more digits than its factorization.

71283083870761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141946 (or 70973 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 61.

The spelling of 71283083870761 in words is "seventy-one trillion, two hundred eighty-three billion, eighty-three million, eight hundred seventy thousand, seven hundred sixty-one".