82523478361 has 3 divisors (see below), whose sum is σ = 82523765631. Its totient is φ = 82523191092.

The previous prime is 82523478353. The next prime is 82523478431. The reversal of 82523478361 is 16387432528.

The square root of 82523478361 is 287269.

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., 20013477961 + 62510000400 = 141469^2 + 250020^2 .

It is not a de Polignac number, because 82523478361 - 2³ = 82523478353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82523478341) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 143635 + ... + 430903.

It is an arithmetic number, because the mean of its divisors is an integer number (27507921877).

Almost surely, 2^82523478361 is an apocalyptic number.

82523478361 is the 287269-th square number.

82523478361 is the 143635-th centered octagonal number.

It is an amenable number.

82523478361 is a deficient number, since it is larger than the sum of its proper divisors (287270).

82523478361 is an frugal number, since it uses more digits than its factorization.

82523478361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574538 (or 287269 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

Multiplying 82523478361 by its sum of digits (49), we get a square (4043650439689 = 2010883²).

The spelling of 82523478361 in words is "eighty-two billion, five hundred twenty-three million, four hundred seventy-eight thousand, three hundred sixty-one".