82656825001 has 3 divisors (see below), whose sum is σ = 82657112503. Its totient is φ = 82656537500.

The previous prime is 82656824989. The next prime is 82656825007. The reversal of 82656825001 is 10052865628.

The square root of 82656825001 is 287501.

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., 14232728601 + 68424096400 = 119301^2 + 261580^2 .

It is not a de Polignac number, because 82656825001 - 2²⁹ = 82119954089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82656825007) 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, 143751 + ... + 431251.

Almost surely, 2^82656825001 is an apocalyptic number.

82656825001 is the 287501-st square number.

82656825001 is the 143751-st centered octagonal number.

It is an amenable number.

82656825001 is a deficient number, since it is larger than the sum of its proper divisors (287502).

82656825001 is an frugal number, since it uses more digits than its factorization.

82656825001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575002 (or 287501 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 82656825001 in words is "eighty-two billion, six hundred fifty-six million, eight hundred twenty-five thousand, one".