83048288761 has 3 divisors (see below), whose sum is σ = 83048576943. Its totient is φ = 83048000580.

The previous prime is 83048288747. The next prime is 83048288783. The reversal of 83048288761 is 16788284038.

The square root of 83048288761 is 288181.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 79597901161 + 3450387600 = 282131^2 + 58740^2 .

It is not a de Polignac number, because 83048288761 - 2¹³ = 83048280569 is a prime.

It is a super-2 number, since 2×83048288761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83048288261) 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 2 ways as a sum of consecutive naturals, for example, 144091 + ... + 432271.

It is an arithmetic number, because the mean of its divisors is an integer number (27682858981).

Almost surely, 2^83048288761 is an apocalyptic number.

83048288761 is the 288181-st square number.

83048288761 is the 144091-st centered octagonal number.

It is an amenable number.

83048288761 is a deficient number, since it is larger than the sum of its proper divisors (288182).

83048288761 is an frugal number, since it uses more digits than its factorization.

83048288761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576362 (or 288181 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 55.

The spelling of 83048288761 in words is "eighty-three billion, forty-eight million, two hundred eighty-eight thousand, seven hundred sixty-one".